525064100 has 72 divisors (see below), whose sum is σ = 1249795008. Its totient is φ = 189884800.

The previous prime is 525064093. The next prime is 525064109. The reversal of 525064100 is 1460525.

525064100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (525064109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215489 + ... + 217911.

It is an arithmetic number, because the mean of its divisors is an integer number (17358264).

Almost surely, 2^525064100 is an apocalyptic number.

525064100 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 525064100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624897504).

525064100 is an abundant number, since it is smaller than the sum of its proper divisors (724730908).

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

525064100 is a wasteful number, since it uses less digits than its factorization.

525064100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 525064100 is about 22914.2772087622. The cubic root of 525064100 is about 806.7471536686.

The spelling of 525064100 in words is "five hundred twenty-five million, sixty-four thousand, one hundred".