252601684225 has 36 divisors (see below), whose sum is σ = 346483413052. Its totient is φ = 182539843200.

The previous prime is 252601684199. The next prime is 252601684277. The reversal of 252601684225 is 522486106252.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 68787126529 + 183814557696 = 262273^2 + 428736^2 .

It is not a de Polignac number, because 252601684225 - 2²⁹ = 252064813313 is a prime.

It is a super-2 number, since 2×252601684225² (a number of 24 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 208987 + ... + 740863.

Almost surely, 2^252601684225 is an apocalyptic number.

252601684225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252601684225 is a deficient number, since it is larger than the sum of its proper divisors (93881728827).

252601684225 is a wasteful number, since it uses less digits than its factorization.

252601684225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532066 (or 532050 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 252601684225 in words is "two hundred fifty-two billion, six hundred one million, six hundred eighty-four thousand, two hundred twenty-five".