225302553 has 32 divisors (see below), whose sum is σ = 386200320. Its totient is φ = 128735568.

The previous prime is 225302531. The next prime is 225302569. The reversal of 225302553 is 355203522.

It is not a de Polignac number, because 225302553 - 2¹⁴ = 225286169 is a prime.

It is a super-2 number, since 2×225302553² = 101522480776635618, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225302573) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7951 + ... + 22667.

It is an arithmetic number, because the mean of its divisors is an integer number (12068760).

Almost surely, 2^225302553 is an apocalyptic number.

It is an amenable number.

225302553 is a deficient number, since it is larger than the sum of its proper divisors (160897767).

225302553 is an frugal number, since it uses more digits than its factorization.

225302553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14745 (or 14727 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 225302553 is about 15010.0817119695. The cubic root of 225302553 is about 608.4926979654.

The spelling of 225302553 in words is "two hundred twenty-five million, three hundred two thousand, five hundred fifty-three".