253132664 has 64 divisors (see below), whose sum is σ = 511583040. Its totient is φ = 117145600.

The previous prime is 253132661. The next prime is 253132667. The reversal of 253132664 is 466231352.

It is an interprime number because it is at equal distance from previous prime (253132661) and next prime (253132667).

It is a super-2 number, since 2×253132664² = 128152291167473792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253132664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253132661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984824 + ... + 985080.

It is an arithmetic number, because the mean of its divisors is an integer number (7993485).

Almost surely, 2^253132664 is an apocalyptic number.

It is an amenable number.

253132664 is an abundant number, since it is smaller than the sum of its proper divisors (258450376).

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

253132664 is a wasteful number, since it uses less digits than its factorization.

253132664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 253132664 is about 15910.1434311574. The cubic root of 253132664 is about 632.5808831765.

The spelling of 253132664 in words is "two hundred fifty-three million, one hundred thirty-two thousand, six hundred sixty-four".