253542564 has 36 divisors (see below), whose sum is σ = 699163920. Its totient is φ = 76830960.

The previous prime is 253542559. The next prime is 253542589. The reversal of 253542564 is 465245352.

253542564 is a `hidden beast` number, since 2 + 53 + 5 + 42 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319734 + ... + 320525.

It is an arithmetic number, because the mean of its divisors is an integer number (19421220).

Almost surely, 2^253542564 is an apocalyptic number.

It is an amenable number.

253542564 is an abundant number, since it is smaller than the sum of its proper divisors (445621356).

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

253542564 is a wasteful number, since it uses less digits than its factorization.

253542564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640280 (or 640275 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 253542564 is about 15923.0199396974. The cubic root of 253542564 is about 632.9221470105.

The spelling of 253542564 in words is "two hundred fifty-three million, five hundred forty-two thousand, five hundred sixty-four".