253002032 has 40 divisors (see below), whose sum is σ = 509230800. Its totient is φ = 121624832.

The previous prime is 253002023. The next prime is 253002053. The reversal of 253002032 is 230200352.

It is a super-2 number, since 2×253002032² = 128020056392258048, 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 253002032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123803 + ... + 125829.

It is an arithmetic number, because the mean of its divisors is an integer number (12730770).

Almost surely, 2^253002032 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 253002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254615400).

253002032 is an abundant number, since it is smaller than the sum of its proper divisors (256228768).

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

253002032 is a wasteful number, since it uses less digits than its factorization.

253002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 253002032 is about 15906.0375958313. The cubic root of 253002032 is about 632.4720475912.

Adding to 253002032 its reverse (230200352), we get a palindrome (483202384).

The spelling of 253002032 in words is "two hundred fifty-three million, two thousand, thirty-two".