1253565264 has 40 divisors (see below), whose sum is σ = 3701003200. Its totient is φ = 358161408.

The previous prime is 1253565263. The next prime is 1253565289. The reversal of 1253565264 is 4625653521.

1253565264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1253565264² = 3142851742214779392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253565263) 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, 1865089 + ... + 1865760.

It is an arithmetic number, because the mean of its divisors is an integer number (92525080).

Almost surely, 2^1253565264 is an apocalyptic number.

1253565264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1253565264 is an abundant number, since it is smaller than the sum of its proper divisors (2447437936).

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

1253565264 is a wasteful number, since it uses less digits than its factorization.

1253565264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730867 (or 3730861 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 1253565264 is about 35405.7236050896. The cubic root of 1253565264 is about 1078.2405233169.

The spelling of 1253565264 in words is "one billion, two hundred fifty-three million, five hundred sixty-five thousand, two hundred sixty-four".