253566331656 has 128 divisors (see below), whose sum is σ = 733513397760. Its totient is φ = 72191001600.

The previous prime is 253566331643. The next prime is 253566331693. The reversal of 253566331656 is 656133665352.

253566331656 is digitally balanced in base 3, 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 (51).

It is a junction number, because it is equal to n+sod(n) for n = 253566331599 and 253566331608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2513175 + ... + 2612121.

It is an arithmetic number, because the mean of its divisors is an integer number (5730573420).

Almost surely, 2^253566331656 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 253566331656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366756698880).

253566331656 is an abundant number, since it is smaller than the sum of its proper divisors (479947066104).

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

253566331656 is a wasteful number, since it uses less digits than its factorization.

253566331656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99555 (or 99551 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 51.

The spelling of 253566331656 in words is "two hundred fifty-three billion, five hundred sixty-six million, three hundred thirty-one thousand, six hundred fifty-six".