10052175564 has 18 divisors (see below), whose sum is σ = 25409666100. Its totient is φ = 3350725176.

The previous prime is 10052175521. The next prime is 10052175569. The reversal of 10052175564 is 46557125001.

10052175564 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 21 + 75 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 279227099 = 10052175564 / (1 + 0 + 0 + 5 + 2 + 1 + 7 + 5 + 5 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (10052175569) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139613514 + ... + 139613585.

Almost surely, 2^10052175564 is an apocalyptic number.

It is an amenable number.

10052175564 is an abundant number, since it is smaller than the sum of its proper divisors (15357490536).

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

10052175564 is a wasteful number, since it uses less digits than its factorization.

10052175564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279227109 (or 279227104 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 10052175564 in words is "ten billion, fifty-two million, one hundred seventy-five thousand, five hundred sixty-four".