252254645560656 has 480 divisors, whose sum is σ = 736455490037280. Its totient is φ = 80553163751424.

The previous prime is 252254645560591. The next prime is 252254645560669. The reversal of 252254645560656 is 656065546452252.

It is a happy number.

252254645560656 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 5 + 4 + 6 + 4 + 5 + 560 + 65 + 6 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 231572306250000 + 20682339310656 = 15217500^2 + 4547784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 252254645560593 and 252254645560602.

It is a congruent number.

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, 69818610306 + ... + 69818613918.

It is an arithmetic number, because the mean of its divisors is an integer number (1534282270911).

Almost surely, 2^{252254645560656} 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 252254645560656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368227745018640).

252254645560656 is an abundant number, since it is smaller than the sum of its proper divisors (484200844476624).

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

252254645560656 is a wasteful number, since it uses less digits than its factorization.

252254645560656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 518400000, while the sum is 63.

The spelling of 252254645560656 in words is "two hundred fifty-two trillion, two hundred fifty-four billion, six hundred forty-five million, five hundred sixty thousand, six hundred fifty-six".