525100 has 36 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 204160.

The previous prime is 525043. The next prime is 525101. The reversal of 525100 is 1525.

It is not an unprimeable number, because it can be changed into a prime (525101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5856 + ... + 5944.

It is an arithmetic number, because the mean of its divisors is an integer number (32550).

2⁵²⁵¹⁰⁰ is an apocalyptic number.

525100 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 525100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585900).

525100 is an abundant number, since it is smaller than the sum of its proper divisors (646700).

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

525100 is a wasteful number, since it uses less digits than its factorization.

525100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 525100 is about 724.6378405797. The cubic root of 525100 is about 80.6765539718.

Adding to 525100 its reverse (1525), we get a palindrome (526625).

It can be divided in two parts, 525 and 100, that added together give a 4-th power (625 = 5⁴).

The spelling of 525100 in words is "five hundred twenty-five thousand, one hundred".