253064331 has 80 divisors (see below), whose sum is σ = 436482816. Its totient is φ = 145496736.

The previous prime is 253064321. The next prime is 253064369. The reversal of 253064331 is 133460352.

It is a happy number.

253064331 is a `hidden beast` number, since 25 + 306 + 4 + 331 = 666.

It is not a de Polignac number, because 253064331 - 2⁵ = 253064299 is a prime.

It is a super-2 number, since 2×253064331² = 128083111248955122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 253064295 and 253064304.

It is not an unprimeable number, because it can be changed into a prime (253064321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5885196 + ... + 5885238.

Almost surely, 2^253064331 is an apocalyptic number.

253064331 is a deficient number, since it is larger than the sum of its proper divisors (183418485).

253064331 is an frugal number, since it uses more digits than its factorization.

253064331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 253064331 is about 15907.9958197128. The cubic root of 253064331 is about 632.5239564528.

The spelling of 253064331 in words is "two hundred fifty-three million, sixty-four thousand, three hundred thirty-one".