252756336057564 has 96 divisors (see below), whose sum is σ = 629499485454336. Its totient is φ = 78656017628160.

The previous prime is 252756336057551. The next prime is 252756336057583. The reversal of 252756336057564 is 465750633657252.

252756336057564 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252756336057564² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252756336057495 and 252756336057504.

It is a congruent number.

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, 129112557 + ... + 131055579.

It is an arithmetic number, because the mean of its divisors is an integer number (6557286306816).

Almost surely, 2^{252756336057564} 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 252756336057564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314749742727168).

252756336057564 is an abundant number, since it is smaller than the sum of its proper divisors (376743149396772).

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

252756336057564 is a wasteful number, since it uses less digits than its factorization.

252756336057564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948195 (or 1948193 counting only the distinct ones).

The product of its (nonzero) digits is 952560000, while the sum is 66.

The spelling of 252756336057564 in words is "two hundred fifty-two trillion, seven hundred fifty-six billion, three hundred thirty-six million, fifty-seven thousand, five hundred sixty-four".