525145920 has 224 divisors, whose sum is σ = 1858792320. Its totient is φ = 124723200.

The previous prime is 525145919. The next prime is 525145927. The reversal of 525145920 is 29541525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525145927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361195 + ... + 362645.

It is an arithmetic number, because the mean of its divisors is an integer number (8298180).

Almost surely, 2^525145920 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 525145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929396160).

525145920 is an abundant number, since it is smaller than the sum of its proper divisors (1333646400).

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

525145920 is a wasteful number, since it uses less digits than its factorization.

525145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 525145920 is about 22916.0624890054. The cubic root of 525145920 is about 806.7890562501.

The spelling of 525145920 in words is "five hundred twenty-five million, one hundred forty-five thousand, nine hundred twenty".