253020512 has 48 divisors (see below), whose sum is σ = 526829184. Its totient is φ = 119424000.

The previous prime is 253020487. The next prime is 253020517. The reversal of 253020512 is 215020352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253020517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37562 + ... + 43782.

It is an arithmetic number, because the mean of its divisors is an integer number (10975608).

Almost surely, 2^253020512 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 253020512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263414592).

253020512 is an abundant number, since it is smaller than the sum of its proper divisors (273808672).

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

253020512 is a wasteful number, since it uses less digits than its factorization.

253020512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 253020512 is about 15906.6184967139. The cubic root of 253020512 is about 632.4874464120.

Adding to 253020512 its reverse (215020352), we get a palindrome (468040864).

The spelling of 253020512 in words is "two hundred fifty-three million, twenty thousand, five hundred twelve".