252764718827776 has 81 divisors (see below), whose sum is σ = 508321830369451. Its totient is φ = 125442562789376.

The previous prime is 252764718827741. The next prime is 252764718827809. The reversal of 252764718827776 is 677728817467252.

The square root of 252764718827776 is 15898576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25975576197376 + 226789142630400 = 5096624^2 + 15059520^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252764718827696 and 252764718827705.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34849674966 + ... + 34849682218.

Almost surely, 2^{252764718827776} is an apocalyptic number.

252764718827776 is the 15898576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252764718827776

252764718827776 is an abundant number, since it is smaller than the sum of its proper divisors (255557111541675).

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

252764718827776 is an frugal number, since it uses more digits than its factorization.

252764718827776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14796 (or 7392 counting only the distinct ones).

The product of its digits is 6195732480, while the sum is 79.

The spelling of 252764718827776 in words is "two hundred fifty-two trillion, seven hundred sixty-four billion, seven hundred eighteen million, eight hundred twenty-seven thousand, seven hundred seventy-six".