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2544553125 = 325590473
BaseRepresentation
bin1001011110101010…
…1100110010100101
320120100000200200100
42113222230302211
520202401200000
61100254334313
7120025226142
oct22752546245
96510020610
102544553125
111096374474
125b01ba399
1331722b54a
141a1d2b3c9
15ed5cba00
hex97aacca5

2544553125 has 36 divisors (see below), whose sum is σ = 4594088772. Its totient is φ = 1357080000.

The previous prime is 2544553117. The next prime is 2544553133. The reversal of 2544553125 is 5213554452.

It is an interprime number because it is at equal distance from previous prime (2544553117) and next prime (2544553133).

It can be written as a sum of positive squares in 6 ways, for example, as 1744398756 + 800154369 = 41766^2 + 28287^2 .

It is not a de Polignac number, because 2544553125 - 23 = 2544553117 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2544553125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17112 + ... + 73361.

It is an arithmetic number, because the mean of its divisors is an integer number (127613577).

Almost surely, 22544553125 is an apocalyptic number.

2544553125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2544553125 is a deficient number, since it is larger than the sum of its proper divisors (2049535647).

2544553125 is an frugal number, since it uses more digits than its factorization.

2544553125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90504 (or 90481 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 2544553125 is about 50443.5637618914. The cubic root of 2544553125 is about 1365.2237688134.

The spelling of 2544553125 in words is "two billion, five hundred forty-four million, five hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 3125 5625 9375 28125 90473 271419 452365 814257 1357095 2261825 4071285 6785475 11309125 20356425 33927375 56545625 101782125 169636875 282728125 508910625 848184375 2544553125