252355522500 has 405 divisors, whose sum is σ = 851085814579. Its totient is φ = 63014784000.

The previous prime is 252355522477. The next prime is 252355522513. The reversal of 252355522500 is 5225553252.

The square root of 252355522500 is 502350.

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

252355522500 is a `hidden beast` number, since 2 + 5 + 2 + 355 + 52 + 250 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 158851667844 + 93503854656 = 398562^2 + 305784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1280992402 + ... + 1280992598.

Almost surely, 2^252355522500 is an apocalyptic number.

252355522500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

252355522500 is the 502350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252355522500

252355522500 is an abundant number, since it is smaller than the sum of its proper divisors (598730292079).

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

252355522500 is a wasteful number, since it uses less digits than its factorization.

252355522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

Multiplying 252355522500 by its sum of digits (36), we get a square (9084798810000 = 3014100²).

252355522500 divided by its sum of digits (36) gives a square (7009875625 = 83725²).

The spelling of 252355522500 in words is "two hundred fifty-two billion, three hundred fifty-five million, five hundred twenty-two thousand, five hundred".