252937579041 has 81 divisors (see below), whose sum is σ = 441825954609. Its totient is φ = 144372810456.

The previous prime is 252937578947. The next prime is 252937579099. The reversal of 252937579041 is 140975739252.

The square root of 252937579041 is 502929.

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

252937579041 is a `hidden beast` number, since 2 + 5 + 29 + 3 + 7 + 579 + 0 + 41 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 252937579041 - 2⁷ = 252937578913 is a prime.

It is a super-2 number, since 2×252937579041² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252937574041) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 285160300 + ... + 285161186.

Almost surely, 2^252937579041 is an apocalyptic number.

252937579041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

252937579041 is the 502929-th square number.

252937579041 is the 251465-th centered octagonal number.

It is an amenable number.

252937579041 is a deficient number, since it is larger than the sum of its proper divisors (188888375568).

252937579041 is an frugal number, since it uses more digits than its factorization.

252937579041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 252937579041 in words is "two hundred fifty-two billion, nine hundred thirty-seven million, five hundred seventy-nine thousand, forty-one".