253545625 has 20 divisors (see below), whose sum is σ = 317851380. Its totient is φ = 202184000.

The previous prime is 253545619. The next prime is 253545647. The reversal of 253545625 is 526545352.

It can be written as a sum of positive squares in 10 ways, for example, as 157427209 + 96118416 = 12547^2 + 9804^2 .

It is not a de Polignac number, because 253545625 - 2⁹ = 253545113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 317727 + ... + 318523.

It is an arithmetic number, because the mean of its divisors is an integer number (15892569).

Almost surely, 2^253545625 is an apocalyptic number.

253545625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253545625 is a deficient number, since it is larger than the sum of its proper divisors (64305755).

253545625 is an frugal number, since it uses more digits than its factorization.

253545625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1311 counting only the distinct ones).

The product of its digits is 180000, while the sum is 37.

The square root of 253545625 is about 15923.1160581087. The cubic root of 253545625 is about 632.9246940738.

The spelling of 253545625 in words is "two hundred fifty-three million, five hundred forty-five thousand, six hundred twenty-five".