253772520 has 32 divisors (see below), whose sum is σ = 761317920. Its totient is φ = 67672640.

The previous prime is 253772509. The next prime is 253772521. The reversal of 253772520 is 25277352.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (253772521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057266 + ... + 1057505.

It is an arithmetic number, because the mean of its divisors is an integer number (23791185).

Almost surely, 2^253772520 is an apocalyptic number.

253772520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253772520 is an abundant number, since it is smaller than the sum of its proper divisors (507545400).

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

253772520 is a wasteful number, since it uses less digits than its factorization.

253772520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114785 (or 2114781 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 253772520 is about 15930.2391695793. The cubic root of 253772520 is about 633.1134367406.

It can be divided in two parts, 2537 and 72520, that added together give a palindrome (75057).

The spelling of 253772520 in words is "two hundred fifty-three million, seven hundred seventy-two thousand, five hundred twenty".