253055232 has 144 divisors (see below), whose sum is σ = 773122560. Its totient is φ = 81561600.

The previous prime is 253055227. The next prime is 253055237. The reversal of 253055232 is 232550352.

It is an interprime number because it is at equal distance from previous prime (253055227) and next prime (253055237).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 253055196 and 253055205.

It is not an unprimeable number, because it can be changed into a prime (253055237) 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, 213682 + ... + 214862.

Almost surely, 2^253055232 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 253055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386561280).

253055232 is an abundant number, since it is smaller than the sum of its proper divisors (520067328).

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

253055232 is a wasteful number, since it uses less digits than its factorization.

253055232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 253055232 is about 15907.7098288849. The cubic root of 253055232 is about 632.5163755023.

The spelling of 253055232 in words is "two hundred fifty-three million, fifty-five thousand, two hundred thirty-two".