252194891625 has 192 divisors, whose sum is σ = 490194110016. Its totient is φ = 124293120000.

The previous prime is 252194891623. The next prime is 252194891633. The reversal of 252194891625 is 526198491252.

252194891625 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 9 + 4 + 8 + 9 + 1 + 625 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 166441968729 + 85752922896 = 407973^2 + 292836^2 .

It is not a de Polignac number, because 252194891625 - 2¹ = 252194891623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252194891623) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 264632149 + ... + 264633101.

It is an arithmetic number, because the mean of its divisors is an integer number (2553094323).

Almost surely, 2^252194891625 is an apocalyptic number.

252194891625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252194891625 is a deficient number, since it is larger than the sum of its proper divisors (237999218391).

252194891625 is a wasteful number, since it uses less digits than its factorization.

252194891625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1216 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 252194891625 in words is "two hundred fifty-two billion, one hundred ninety-four million, eight hundred ninety-one thousand, six hundred twenty-five".