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2525252520 = 233577514003
BaseRepresentation
bin1001011010000100…
…0100101110101000
320111222201010020010
42112201010232220
520132431040040
61054324531520
7116402202150
oct22641045650
96458633203
102525252520
11108649165a
125a5850ba0
1331323157b
1419d545760
15eba67e80
hex96844ba8

2525252520 has 128 divisors (see below), whose sum is σ = 8671703040. Its totient is φ = 576288000.

The previous prime is 2525252503. The next prime is 2525252567. The reversal of 2525252520 is 252525252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628839 + ... + 632841.

It is an arithmetic number, because the mean of its divisors is an integer number (67747680).

Almost surely, 22525252520 is an apocalyptic number.

2525252520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335851520).

2525252520 is an abundant number, since it is smaller than the sum of its proper divisors (6146450520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2525252520 is a wasteful number, since it uses less digits than its factorization.

2525252520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 2525252520 is about 50251.8907106986. The cubic root of 2525252520 is about 1361.7632334613.

Adding to 2525252520 its reverse (252525252), we get a palindrome (2777777772).

The spelling of 2525252520 in words is "two billion, five hundred twenty-five million, two hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 751 840 1502 2253 3004 3755 4003 4506 5257 6008 7510 8006 9012 10514 11265 12009 15020 15771 16012 18024 20015 21028 22530 24018 26285 28021 30040 31542 32024 40030 42056 45060 48036 52570 56042 60045 63084 78855 80060 84063 90120 96072 105140 112084 120090 126168 140105 157710 160120 168126 210280 224168 240180 280210 315420 336252 420315 480360 560420 630840 672504 840630 1120840 1681260 3006253 3362520 6012506 9018759 12025012 15031265 18037518 21043771 24050024 30062530 36075036 42087542 45093795 60125060 63131313 72150072 84175084 90187590 105218855 120250120 126262626 168350168 180375180 210437710 252525252 315656565 360750360 420875420 505050504 631313130 841750840 1262626260 2525252520