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25133513130 = 23251125387387
BaseRepresentation
bin10111011010000100…
…101111100110101010
32101212121010202101200
4113122010233212222
5402433134410010
615313550225030
71546555223325
oct273204574652
971777122350
1025133513130
11a728238460
124a551b5176
1324a70b207b
141305dbd7bc
159c1796cc0
hex5da12f9aa

25133513130 has 48 divisors (see below), whose sum is σ = 71287785504. Its totient is φ = 6092972640.

The previous prime is 25133513123. The next prime is 25133513131. The reversal of 25133513130 is 3131533152.

25133513130 is a `hidden beast` number, since 2 + 5 + 13 + 3 + 513 + 130 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 25133513094 and 25133513103.

It is not an unprimeable number, because it can be changed into a prime (25133513131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12692704 + ... + 12694683.

It is an arithmetic number, because the mean of its divisors is an integer number (1485162198).

Almost surely, 225133513130 is an apocalyptic number.

25133513130 is an abundant number, since it is smaller than the sum of its proper divisors (46154272374).

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

25133513130 is a wasteful number, since it uses less digits than its factorization.

25133513130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25387411 (or 25387408 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The spelling of 25133513130 in words is "twenty-five billion, one hundred thirty-three million, five hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 25387387 50774774 76162161 126936935 152324322 228486483 253873870 279261257 380810805 456972966 558522514 761621610 837783771 1142432415 1396306285 1675567542 2284864830 2513351313 2792612570 4188918855 5026702626 8377837710 12566756565 25133513130