253224312264 has 512 divisors, whose sum is σ = 896790528000. Its totient is φ = 64298707200.

The previous prime is 253224312251. The next prime is 253224312281. The reversal of 253224312264 is 462213422352.

253224312264 is a `hidden beast` number, since 2 + 532 + 2 + 43 + 1 + 22 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 207051157 + ... + 207052379.

It is an arithmetic number, because the mean of its divisors is an integer number (1751544000).

Almost surely, 2^253224312264 is an apocalyptic number.

253224312264 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 253224312264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448395264000).

253224312264 is an abundant number, since it is smaller than the sum of its proper divisors (643566215736).

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

253224312264 is a wasteful number, since it uses less digits than its factorization.

253224312264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1516 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 253224312264 in words is "two hundred fifty-three billion, two hundred twenty-four million, three hundred twelve thousand, two hundred sixty-four".