252697107456 has 352 divisors, whose sum is σ = 772262683200. Its totient is φ = 82604261376.

The previous prime is 252697107451. The next prime is 252697107463. The reversal of 252697107456 is 654701796252.

It is a happy number.

252697107456 is a `hidden beast` number, since 2 + 526 + 9 + 7 + 107 + 4 + 5 + 6 = 666.

It is a super-3 number, since 3×252697107456³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252697107451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118691800 + ... + 118693928.

Almost surely, 2^252697107456 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 252697107456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386131341600).

252697107456 is an abundant number, since it is smaller than the sum of its proper divisors (519565575744).

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

252697107456 is an frugal number, since it uses more digits than its factorization.

252697107456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 252697107456 in words is "two hundred fifty-two billion, six hundred ninety-seven million, one hundred seven thousand, four hundred fifty-six".