253130064 has 120 divisors (see below), whose sum is σ = 736994496. Its totient is φ = 74764800.

The previous prime is 253130063. The next prime is 253130069. The reversal of 253130064 is 460031352.

It is a happy number.

253130064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253130063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237597 + ... + 238659.

Almost surely, 2^253130064 is an apocalyptic number.

253130064 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 253130064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368497248).

253130064 is an abundant number, since it is smaller than the sum of its proper divisors (483864432).

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

253130064 is a wasteful number, since it uses less digits than its factorization.

253130064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 253130064 is about 15910.0617220676. The cubic root of 253130064 is about 632.5787173610.

The spelling of 253130064 in words is "two hundred fifty-three million, one hundred thirty thousand, sixty-four".