253877085 has 120 divisors (see below), whose sum is σ = 578023776. Its totient is φ = 105416640.

The previous prime is 253877053. The next prime is 253877087. The reversal of 253877085 is 580778352.

It is not a de Polignac number, because 253877085 - 2⁵ = 253877053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 253877085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253877087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 217714 + ... + 218876.

Almost surely, 2^253877085 is an apocalyptic number.

It is an amenable number.

253877085 is an abundant number, since it is smaller than the sum of its proper divisors (324146691).

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

253877085 is a wasteful number, since it uses less digits than its factorization.

253877085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 253877085 is about 15933.5207973630. The cubic root of 253877085 is about 633.2003812949.

The spelling of 253877085 in words is "two hundred fifty-three million, eight hundred seventy-seven thousand, eighty-five".