253203512560 has 40 divisors (see below), whose sum is σ = 588751621056. Its totient is φ = 101272208640.

The previous prime is 253203512473. The next prime is 253203512563. The reversal of 253203512560 is 65215302352.

253203512560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×253203512560² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253203512563) 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, 779722 + ... + 1055638.

Almost surely, 2^253203512560 is an apocalyptic number.

253203512560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253203512560 is an abundant number, since it is smaller than the sum of its proper divisors (335548108496).

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

253203512560 is a wasteful number, since it uses less digits than its factorization.

253203512560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287401 (or 287395 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 253203512560 in words is "two hundred fifty-three billion, two hundred three million, five hundred twelve thousand, five hundred sixty".