525253120 has 80 divisors (see below), whose sum is σ = 1439336448. Its totient is φ = 180080640.

The previous prime is 525253111. The next prime is 525253121. The reversal of 525253120 is 21352525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (525253121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3265 + ... + 32575.

Almost surely, 2^525253120 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 525253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719668224).

525253120 is an abundant number, since it is smaller than the sum of its proper divisors (914083328).

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

525253120 is an equidigital number, since it uses as much as digits as its factorization.

525253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29341 (or 29325 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 525253120 is about 22918.4013404077. The cubic root of 525253120 is about 806.8439501372.

The spelling of 525253120 in words is "five hundred twenty-five million, two hundred fifty-three thousand, one hundred twenty".