253159921 has 9 divisors (see below), whose sum is σ = 294621771. Its totient is φ = 216898752.

The previous prime is 253159913. The next prime is 253159927. The reversal of 253159921 is 129951352.

The square root of 253159921 is 15911.

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

It can be written as a sum of positive squares in only one way, i.e., 225450225 + 27709696 = 15015^2 + 5264^2 .

It is not a de Polignac number, because 253159921 - 2³ = 253159913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253159927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110241 + ... + 112513.

Almost surely, 2^253159921 is an apocalyptic number.

253159921 is the 15911-st square number.

253159921 is the 7956-th centered octagonal number.

It is an amenable number.

253159921 is a deficient number, since it is larger than the sum of its proper divisors (41461850).

253159921 is an frugal number, since it uses more digits than its factorization.

253159921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 2280 counting only the distinct ones).

The product of its digits is 24300, while the sum is 37.

The cubic root of 253159921 is about 632.6035875272.

The spelling of 253159921 in words is "two hundred fifty-three million, one hundred fifty-nine thousand, nine hundred twenty-one".