253009504 has 48 divisors (see below), whose sum is σ = 575373456. Its totient is φ = 108236800.

The previous prime is 253009501. The next prime is 253009511. The reversal of 253009504 is 405900352.

It is a super-2 number, since 2×253009504² = 128027618228652032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253009501) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15157 + ... + 27124.

It is an arithmetic number, because the mean of its divisors is an integer number (11986947).

Almost surely, 2^253009504 is an apocalyptic number.

It is an amenable number.

253009504 is an abundant number, since it is smaller than the sum of its proper divisors (322363952).

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

253009504 is a wasteful number, since it uses less digits than its factorization.

253009504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42319 (or 42311 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 253009504 is about 15906.2724734615. The cubic root of 253009504 is about 632.4782738714.

Adding to 253009504 its reverse (405900352), we get a palindrome (658909856).

The spelling of 253009504 in words is "two hundred fifty-three million, nine thousand, five hundred four".