254753521 has 9 divisors (see below), whose sum is σ = 280211449. Its totient is φ = 231434500.

The previous prime is 254753519. The next prime is 254753549. The reversal of 254753521 is 125357452.

The square root of 254753521 is 15961.

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

It is not a de Polignac number, because 254753521 - 2¹ = 254753519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (254753561) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 174846 + ... + 176296.

Almost surely, 2^254753521 is an apocalyptic number.

254753521 is the 15961-st square number.

254753521 is the 7981-st centered octagonal number.

It is an amenable number.

254753521 is a deficient number, since it is larger than the sum of its proper divisors (25457928).

254753521 is an frugal number, since it uses more digits than its factorization.

254753521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 1462 counting only the distinct ones).

The product of its digits is 42000, while the sum is 34.

The cubic root of 254753521 is about 633.9281904757.

The spelling of 254753521 in words is "two hundred fifty-four million, seven hundred fifty-three thousand, five hundred twenty-one".