521254561 has 15 divisors (see below), whose sum is σ = 560931861. Its totient is φ = 484382496.

The previous prime is 521254537. The next prime is 521254571. The reversal of 521254561 is 165452125.

The square root of 521254561 is 22831.

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

It can be written as a sum of positive squares in 2 ways, for example, as 161772961 + 359481600 = 12719^2 + 18960^2 .

It is not a de Polignac number, because 521254561 - 2⁹ = 521254049 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

Its product of digits (12000) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (521254501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6598120 + ... + 6598198.

Almost surely, 2^521254561 is an apocalyptic number.

521254561 is the 22831-st square number.

521254561 is the 11416-th centered octagonal number.

It is an amenable number.

521254561 is a deficient number, since it is larger than the sum of its proper divisors (39677300).

521254561 is an frugal number, since it uses more digits than its factorization.

521254561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 96 counting only the distinct ones).

The product of its digits is 12000, while the sum is 31.

The cubic root of 521254561 is about 804.7913305057.

The spelling of 521254561 in words is "five hundred twenty-one million, two hundred fifty-four thousand, five hundred sixty-one".