252931783123656 has 384 divisors, whose sum is σ = 852366127092480. Its totient is φ = 65976632967168.

The previous prime is 252931783123603. The next prime is 252931783123667. The reversal of 252931783123656 is 656321387139252.

252931783123656 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 317 + 8 + 31 + 236 + 56 = 666.

It is a super-2 number, since 2×252931783123656² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 252931783123593 and 252931783123602.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 432264120 + ... + 432848856.

It is an arithmetic number, because the mean of its divisors is an integer number (2219703455970).

Almost surely, 2^{252931783123656} is an apocalyptic number.

252931783123656 is a gapful number since it is divisible by the number (26) 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 252931783123656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426183063546240).

252931783123656 is an abundant number, since it is smaller than the sum of its proper divisors (599434343968824).

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

252931783123656 is a wasteful number, since it uses less digits than its factorization.

252931783123656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585493 (or 585486 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 252931783123656 in words is "two hundred fifty-two trillion, nine hundred thirty-one billion, seven hundred eighty-three million, one hundred twenty-three thousand, six hundred fifty-six".