253002563 has 16 divisors (see below), whose sum is σ = 289600512. Its totient is φ = 218916000.

The previous prime is 253002521. The next prime is 253002601. The reversal of 253002563 is 365200352.

It is a cyclic number.

It is not a de Polignac number, because 253002563 - 2⁸ = 253002307 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (253002163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14720 + ... + 26882.

It is an arithmetic number, because the mean of its divisors is an integer number (18100032).

Almost surely, 2^253002563 is an apocalyptic number.

253002563 is a deficient number, since it is larger than the sum of its proper divisors (36597949).

253002563 is a wasteful number, since it uses less digits than its factorization.

253002563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12266.

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 253002563 is about 15906.0542875975. The cubic root of 253002563 is about 632.4724900678.

The spelling of 253002563 in words is "two hundred fifty-three million, two thousand, five hundred sixty-three".