11583642075625 has 15 divisors (see below), whose sum is σ = 14475025463041. Its totient is φ = 9266845591000.

The previous prime is 11583642075587. The next prime is 11583642075637. The reversal of 11583642075625 is 52657024638511.

The square root of 11583642075625 is 3403475.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 908157538729 + 10675484536896 = 952973^2 + 3267336^2 .

It is not a de Polignac number, because 11583642075625 - 2²⁷ = 11583507857897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 85018806 + ... + 85154944.

Almost surely, 2^{11583642075625} is an apocalyptic number.

11583642075625 is the 3403475-th square number.

11583642075625 is the 1701738-th centered octagonal number.

It is an amenable number.

11583642075625 is a deficient number, since it is larger than the sum of its proper divisors (2891383387416).

11583642075625 is an frugal number, since it uses more digits than its factorization.

11583642075625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272298 (or 136144 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 55.

The spelling of 11583642075625 in words is "eleven trillion, five hundred eighty-three billion, six hundred forty-two million, seventy-five thousand, six hundred twenty-five".