252080309776 has 45 divisors (see below), whose sum is σ = 504793517133. Its totient is φ = 121944218880.

The previous prime is 252080309753. The next prime is 252080309777. The reversal of 252080309776 is 677903080252.

The square root of 252080309776 is 502076.

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

It can be written as a sum of positive squares in only one way, i.e., 61565519376 + 190514790400 = 248124^2 + 436480^2 .

It is not an unprimeable number, because it can be changed into a prime (252080309777) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62255400 + ... + 62259448.

Almost surely, 2^252080309776 is an apocalyptic number.

252080309776 is the 502076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252080309776

252080309776 is an abundant number, since it is smaller than the sum of its proper divisors (252713207357).

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

252080309776 is an frugal number, since it uses more digits than its factorization.

252080309776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 252080309776 by its sum of digits (49), we get a square (12351935179024 = 3514532²).

The spelling of 252080309776 in words is "two hundred fifty-two billion, eighty million, three hundred nine thousand, seven hundred seventy-six".