253191264 has 96 divisors (see below), whose sum is σ = 705761280. Its totient is φ = 79252992.

The previous prime is 253191241. The next prime is 253191269. The reversal of 253191264 is 462191352.

253191264 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253191269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231102 + ... + 232194.

It is an arithmetic number, because the mean of its divisors is an integer number (7351680).

Almost surely, 2^253191264 is an apocalyptic number.

253191264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253191264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352880640).

253191264 is an abundant number, since it is smaller than the sum of its proper divisors (452570016).

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

253191264 is a wasteful number, since it uses less digits than its factorization.

253191264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 253191264 is about 15911.9849170366. The cubic root of 253191264 is about 632.6296933920.

The spelling of 253191264 in words is "two hundred fifty-three million, one hundred ninety-one thousand, two hundred sixty-four".