253664532 has 72 divisors (see below), whose sum is σ = 703335360. Its totient is φ = 76446720.

The previous prime is 253664501. The next prime is 253664549. The reversal of 253664532 is 235466352.

253664532 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 645 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74769 + ... + 78087.

Almost surely, 2^253664532 is an apocalyptic number.

253664532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253664532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351667680).

253664532 is an abundant number, since it is smaller than the sum of its proper divisors (449670828).

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

253664532 is a wasteful number, since it uses less digits than its factorization.

253664532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3528 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 253664532 is about 15926.8494059560. The cubic root of 253664532 is about 633.0236209300.

The spelling of 253664532 in words is "two hundred fifty-three million, six hundred sixty-four thousand, five hundred thirty-two".