525261920 has 96 divisors (see below), whose sum is σ = 1359439200. Its totient is φ = 190898176.

The previous prime is 525261839. The next prime is 525261929. The reversal of 525261920 is 29162525.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525261929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75551 + ... + 82209.

It is an arithmetic number, because the mean of its divisors is an integer number (14160825).

Almost surely, 2^525261920 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 525261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679719600).

525261920 is an abundant number, since it is smaller than the sum of its proper divisors (834177280).

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

525261920 is a wasteful number, since it uses less digits than its factorization.

525261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 525261920 is about 22918.5933250712. The cubic root of 525261920 is about 806.8484560201.

The spelling of 525261920 in words is "five hundred twenty-five million, two hundred sixty-one thousand, nine hundred twenty".