525257900 has 144 divisors (see below), whose sum is σ = 1253919744. Its totient is φ = 190417920.

The previous prime is 525257899. The next prime is 525257917. The reversal of 525257900 is 9752525.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4648244 + ... + 4648356.

It is an arithmetic number, because the mean of its divisors is an integer number (8707776).

Almost surely, 2^525257900 is an apocalyptic number.

525257900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525257900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626959872).

525257900 is an abundant number, since it is smaller than the sum of its proper divisors (728661844).

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

525257900 is a wasteful number, since it uses less digits than its factorization.

525257900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 525257900 is about 22918.5056231858. The cubic root of 525257900 is about 806.8463976571.

The spelling of 525257900 in words is "five hundred twenty-five million, two hundred fifty-seven thousand, nine hundred".