521253456 has 80 divisors (see below), whose sum is σ = 1429783488. Its totient is φ = 163072000.

The previous prime is 521253449. The next prime is 521253461. The reversal of 521253456 is 654352125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400006 + ... + 401306.

Almost surely, 2^521253456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521253456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714891744).

521253456 is an abundant number, since it is smaller than the sum of its proper divisors (908530032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

521253456 is a wasteful number, since it uses less digits than its factorization.

521253456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1814 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 521253456 is about 22830.9758004339. The cubic root of 521253456 is about 804.7907618168.

The spelling of 521253456 in words is "five hundred twenty-one million, two hundred fifty-three thousand, four hundred fifty-six".