253306524042 has 144 divisors (see below), whose sum is σ = 680504636448. Its totient is φ = 67125516480.

The previous prime is 253306524007. The next prime is 253306524047. The reversal of 253306524042 is 240425603352.

253306524042 is a `hidden beast` number, since 2 + 533 + 0 + 65 + 24 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 253306523988 and 253306524006.

It is not an unprimeable number, because it can be changed into a prime (253306524047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 792913 + ... + 1065515.

It is an arithmetic number, because the mean of its divisors is an integer number (4725726642).

Almost surely, 2^253306524042 is an apocalyptic number.

253306524042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 253306524042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340252318224).

253306524042 is an abundant number, since it is smaller than the sum of its proper divisors (427198112406).

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

253306524042 is a wasteful number, since it uses less digits than its factorization.

253306524042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272673 (or 272651 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 253306524042 in words is "two hundred fifty-three billion, three hundred six million, five hundred twenty-four thousand, forty-two".