253642560 has 56 divisors (see below), whose sum is σ = 805318176. Its totient is φ = 67637760.

The previous prime is 253642559. The next prime is 253642573. The reversal of 253642560 is 65246352.

253642560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 131146 + ... + 133065.

Almost surely, 2^253642560 is an apocalyptic number.

253642560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253642560 is an abundant number, since it is smaller than the sum of its proper divisors (551675616).

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

253642560 is a wasteful number, since it uses less digits than its factorization.

253642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264231 (or 264221 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 253642560 is about 15926.1596124113. The cubic root of 253642560 is about 633.0053432511.

The spelling of 253642560 in words is "two hundred fifty-three million, six hundred forty-two thousand, five hundred sixty".