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2505024225 = 345211112459
BaseRepresentation
bin1001010101001111…
…1010001011100001
320110120122102020000
42111103322023201
520112241233400
61052323210213
7116035232424
oct22523721341
96416572200
102505024225
111076025860
1259ab16969
1330bc9b272
1419a99b9bb
15e9dbe600
hex954fa2e1

2505024225 has 60 divisors (see below), whose sum is σ = 5062049520. Its totient is φ = 1214546400.

The previous prime is 2505024217. The next prime is 2505024227. The reversal of 2505024225 is 5224205052.

2505024225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2505024225 - 23 = 2505024217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2505024227) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33955 + ... + 78504.

It is an arithmetic number, because the mean of its divisors is an integer number (84367492).

Almost surely, 22505024225 is an apocalyptic number.

2505024225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2505024225 is an abundant number, since it is smaller than the sum of its proper divisors (2557025295).

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

2505024225 is a wasteful number, since it uses less digits than its factorization.

2505024225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112492 (or 112478 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2505024225 is about 50050.2170324965. The cubic root of 2505024225 is about 1358.1173895701.

Adding to 2505024225 its reverse (5224205052), we get a palindrome (7729229277).

The spelling of 2505024225 in words is "two billion, five hundred five million, twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 675 825 891 1485 2025 2475 4455 7425 22275 112459 337377 562295 1012131 1237049 1686885 2811475 3036393 3711147 5060655 6185245 8434425 9109179 11133441 15181965 18555735 25303275 30926225 33400323 45545895 55667205 75909825 92778675 100200969 167001615 227729475 278336025 501004845 835008075 2505024225