252952901187921 has 32 divisors (see below), whose sum is σ = 409051982102400. Its totient is φ = 153215083909440.

The previous prime is 252952901187881. The next prime is 252952901187967. The reversal of 252952901187921 is 129781109259252.

252952901187921 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 529 + 0 + 1 + 1 + 87 + 9 + 21 = 666.

It is not a de Polignac number, because 252952901187921 - 2¹⁰ = 252952901186897 is a prime.

It is a super-2 number, since 2×252952901187921² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252952901185921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248671266 + ... + 249686411.

It is an arithmetic number, because the mean of its divisors is an integer number (12782874440700).

Almost surely, 2^{252952901187921} is an apocalyptic number.

It is an amenable number.

252952901187921 is a deficient number, since it is larger than the sum of its proper divisors (156099080914479).

252952901187921 is a wasteful number, since it uses less digits than its factorization.

252952901187921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498359406 (or 498359400 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 63.

The spelling of 252952901187921 in words is "two hundred fifty-two trillion, nine hundred fifty-two billion, nine hundred one million, one hundred eighty-seven thousand, nine hundred twenty-one".