11625577257 has 16 divisors (see below), whose sum is σ = 17716672512. Its totient is φ = 6642621840.

The previous prime is 11625577247. The next prime is 11625577273. The reversal of 11625577257 is 75277552611.

11625577257 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 11625577257 - 2⁸ = 11625577001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11625577247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 461728 + ... + 486254.

It is an arithmetic number, because the mean of its divisors is an integer number (1107292032).

Almost surely, 2^11625577257 is an apocalyptic number.

It is an amenable number.

11625577257 is a deficient number, since it is larger than the sum of its proper divisors (6091095255).

11625577257 is a wasteful number, since it uses less digits than its factorization.

11625577257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47108.

The product of its digits is 1029000, while the sum is 48.

The spelling of 11625577257 in words is "eleven billion, six hundred twenty-five million, five hundred seventy-seven thousand, two hundred fifty-seven".