253085756 has 48 divisors (see below), whose sum is σ = 553416192. Its totient is φ = 98385600.

The previous prime is 253085753. The next prime is 253085771. The reversal of 253085756 is 657580352.

253085756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253085753) 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, 244961 + ... + 245991.

It is an arithmetic number, because the mean of its divisors is an integer number (11529504).

Almost surely, 2^253085756 is an apocalyptic number.

It is an amenable number.

253085756 is an abundant number, since it is smaller than the sum of its proper divisors (300330436).

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

253085756 is a wasteful number, since it uses less digits than its factorization.

253085756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The square root of 253085756 is about 15908.6692089565. The cubic root of 253085756 is about 632.5418062531.

The spelling of 253085756 in words is "two hundred fifty-three million, eighty-five thousand, seven hundred fifty-six".