202252575625 has 15 divisors (see below), whose sum is σ = 252748868691. Its totient is φ = 161793066000.

The previous prime is 202252575563. The next prime is 202252575667. The reversal of 202252575625 is 526575252202.

The square root of 202252575625 is 449725.

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

202252575625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 100233660409 + 102018915216 = 316597^2 + 319404^2 .

It is not a de Polignac number, because 202252575625 - 2³³ = 193662641033 is a prime.

It is a super-2 number, since 2×202252575625² (a number of 23 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 (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11234131 + ... + 11252119.

Almost surely, 2^202252575625 is an apocalyptic number.

202252575625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

202252575625 is the 449725-th square number.

202252575625 is the 224863-rd centered octagonal number.

It is an amenable number.

202252575625 is a deficient number, since it is larger than the sum of its proper divisors (50496293066).

202252575625 is an frugal number, since it uses more digits than its factorization.

202252575625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35998 (or 17994 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 43.

The spelling of 202252575625 in words is "two hundred two billion, two hundred fifty-two million, five hundred seventy-five thousand, six hundred twenty-five".