202747575625 has 135 divisors (see below), whose sum is σ = 308244121713. Its totient is φ = 132921180000.

The previous prime is 202747575601. The next prime is 202747575631. The reversal of 202747575625 is 526575747202.

The square root of 202747575625 is 450275.

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

It can be written as a sum of positive squares in 2 ways, for example, as 15895409929 + 186852165696 = 126077^2 + 432264^2 .

It is not a de Polignac number, because 202747575625 - 2¹¹ = 202747573577 is a prime.

It is a super-2 number, since 2×202747575625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2442741834 + ... + 2442741916.

Almost surely, 2^202747575625 is an apocalyptic number.

202747575625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

202747575625 is the 450275-th square number.

202747575625 is the 225138-th centered octagonal number.

It is an amenable number.

202747575625 is a deficient number, since it is larger than the sum of its proper divisors (105496546088).

202747575625 is an frugal number, since it uses more digits than its factorization.

202747575625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 52.

The spelling of 202747575625 in words is "two hundred two billion, seven hundred forty-seven million, five hundred seventy-five thousand, six hundred twenty-five".