521952 has 24 divisors (see below), whose sum is σ = 1370376. Its totient is φ = 173952.

The previous prime is 521929. The next prime is 521981. The reversal of 521952 is 259125.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2623 + ... + 2814.

It is an arithmetic number, because the mean of its divisors is an integer number (57099).

2⁵²¹⁹⁵² is an apocalyptic number.

It is an amenable number.

521952 is an abundant number, since it is smaller than the sum of its proper divisors (848424).

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

521952 is a wasteful number, since it uses less digits than its factorization.

521952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5442 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 521952 is about 722.4624557719. The cubic root of 521952 is about 80.5150107676.

The spelling of 521952 in words is "five hundred twenty-one thousand, nine hundred fifty-two".