253053812736 has 180 divisors, whose sum is σ = 737539820472. Its totient is φ = 83599294464.

The previous prime is 253053812657. The next prime is 253053812761. The reversal of 253053812736 is 637218350352.

253053812736 is a `hidden beast` number, since 2 + 5 + 30 + 538 + 12 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 253053812691 and 253053812700.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16654935 + ... + 16670121.

Almost surely, 2^253053812736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253053812736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368769910236).

253053812736 is an abundant number, since it is smaller than the sum of its proper divisors (484486007736).

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

253053812736 is a wasteful number, since it uses less digits than its factorization.

253053812736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15334 (or 15305 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 253053812736 in words is "two hundred fifty-three billion, fifty-three million, eight hundred twelve thousand, seven hundred thirty-six".