521461536 has 192 divisors, whose sum is σ = 1554577920. Its totient is φ = 152064000.

The previous prime is 521461511. The next prime is 521461573. The reversal of 521461536 is 635164125.

It is a junction number, because it is equal to n+sod(n) for n = 521461497 and 521461506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2077411 + ... + 2077661.

It is an arithmetic number, because the mean of its divisors is an integer number (8096760).

Almost surely, 2^521461536 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 521461536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777288960).

521461536 is an abundant number, since it is smaller than the sum of its proper divisors (1033116384).

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

521461536 is a wasteful number, since it uses less digits than its factorization.

521461536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 521461536 is about 22835.5323126044. The cubic root of 521461536 is about 804.8978361404.

The spelling of 521461536 in words is "five hundred twenty-one million, four hundred sixty-one thousand, five hundred thirty-six".