253409172225 has 48 divisors (see below), whose sum is σ = 464550844224. Its totient is φ = 120850848000.

The previous prime is 253409172199. The next prime is 253409172257. The reversal of 253409172225 is 522271904352.

It is not a de Polignac number, because 253409172225 - 2¹¹ = 253409170177 is a prime.

It is a super-2 number, since 2×253409172225² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2467402 + ... + 2568051.

It is an arithmetic number, because the mean of its divisors is an integer number (9678142588).

Almost surely, 2^253409172225 is an apocalyptic number.

253409172225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253409172225 is a deficient number, since it is larger than the sum of its proper divisors (211141671999).

253409172225 is a wasteful number, since it uses less digits than its factorization.

253409172225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035538 (or 5035533 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 253409172225 in words is "two hundred fifty-three billion, four hundred nine million, one hundred seventy-two thousand, two hundred twenty-five".