252757562500 has 63 divisors (see below), whose sum is σ = 553175165361. Its totient is φ = 101052750000.

The previous prime is 252757562479. The next prime is 252757562527. The reversal of 252757562500 is 5265757252.

The square root of 252757562500 is 502750.

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

It can be written as a sum of positive squares in 3 ways, for example, as 221439889476 + 31317673024 = 470574^2 + 176968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 125686495 + ... + 125688505.

Almost surely, 2^252757562500 is an apocalyptic number.

252757562500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

252757562500 is the 502750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252757562500

252757562500 is an abundant number, since it is smaller than the sum of its proper divisors (300417602861).

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

252757562500 is an frugal number, since it uses more digits than its factorization.

252757562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 46.

The spelling of 252757562500 in words is "two hundred fifty-two billion, seven hundred fifty-seven million, five hundred sixty-two thousand, five hundred".