202350625 has 15 divisors (see below), whose sum is σ = 253302511. Its totient is φ = 161596000.

The previous prime is 202350623. The next prime is 202350637. The reversal of 202350625 is 526053202.

The square root of 202350625 is 14225.

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

It can be written as a sum of positive squares in 7 ways, for example, as 198725409 + 3625216 = 14097^2 + 1904^2 .

It is not a de Polignac number, because 202350625 - 2¹ = 202350623 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202350625.

It is not an unprimeable number, because it can be changed into a prime (202350623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 355341 + ... + 355909.

Almost surely, 2^202350625 is an apocalyptic number.

202350625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

202350625 is the 14225-th square number.

202350625 is the 7113-rd centered octagonal number.

It is an amenable number.

202350625 is a deficient number, since it is larger than the sum of its proper divisors (50951886).

202350625 is an frugal number, since it uses more digits than its factorization.

202350625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The cubic root of 202350625 is about 587.0857197057.

Multiplying 202350625 by its sum of digits (25), we get a square (5058765625 = 71125²).

202350625 divided by its sum of digits (25) gives a square (8094025 = 2845²).

Multiplying 202350625 by its product of nonzero digits (3600), we get a square (728462250000 = 853500²).

The spelling of 202350625 in words is "two hundred two million, three hundred fifty thousand, six hundred twenty-five".