521264 has 10 divisors (see below), whose sum is σ = 1009980. Its totient is φ = 260624.

The previous prime is 521251. The next prime is 521267. The reversal of 521264 is 462125.

It is a happy number.

521264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (521267) by changing a digit.

521264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16274 + ... + 16305.

It is an arithmetic number, because the mean of its divisors is an integer number (100998).

2⁵²¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

521264 is a deficient number, since it is larger than the sum of its proper divisors (488716).

521264 is a wasteful number, since it uses less digits than its factorization.

521264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32587 (or 32581 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 521264 is about 721.9861494516. The cubic root of 521264 is about 80.4796188260.

Adding to 521264 its sum of digits (20), we get a square (521284 = 722²).

Adding to 521264 its reverse (462125), we get a palindrome (983389).

The spelling of 521264 in words is "five hundred twenty-one thousand, two hundred sixty-four".