253291032 has 96 divisors (see below), whose sum is σ = 705378960. Its totient is φ = 82080000.

The previous prime is 253291013. The next prime is 253291057. The reversal of 253291032 is 230192352.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 253290987 and 253291005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443307 + ... + 443877.

Almost surely, 2^253291032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253291032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352689480).

253291032 is an abundant number, since it is smaller than the sum of its proper divisors (452087928).

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

253291032 is a wasteful number, since it uses less digits than its factorization.

253291032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 253291032 is about 15915.1196036976. The cubic root of 253291032 is about 632.7127767100.

The spelling of 253291032 in words is "two hundred fifty-three million, two hundred ninety-one thousand, thirty-two".