11553251625 has 96 divisors (see below), whose sum is σ = 22459207680. Its totient is φ = 5694624000.

The previous prime is 11553251599. The next prime is 11553251651. The reversal of 11553251625 is 52615235511.

11553251625 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 3 + 25 + 1 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (11553251599) and next prime (11553251651).

It is not a de Polignac number, because 11553251625 - 2¹² = 11553247529 is a prime.

It is a super-2 number, since 2×11553251625² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11553251625.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 869784 + ... + 882966.

It is an arithmetic number, because the mean of its divisors is an integer number (233950080).

Almost surely, 2^11553251625 is an apocalyptic number.

11553251625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11553251625 is a deficient number, since it is larger than the sum of its proper divisors (10905956055).

11553251625 is a wasteful number, since it uses less digits than its factorization.

11553251625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13264 (or 13251 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The spelling of 11553251625 in words is "eleven billion, five hundred fifty-three million, two hundred fifty-one thousand, six hundred twenty-five".