525210000 has 400 divisors, whose sum is σ = 2017454208. Its totient is φ = 115200000.

The previous prime is 525209987. The next prime is 525210043. The reversal of 525210000 is 12525.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8609970 + ... + 8610030.

Almost surely, 2^525210000 is an apocalyptic number.

525210000 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 525210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008727104).

525210000 is an abundant number, since it is smaller than the sum of its proper divisors (1492244208).

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

525210000 is a wasteful number, since it uses less digits than its factorization.

525210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 525210000 is about 22917.4605923082. The cubic root of 525210000 is about 806.8218705836.

Adding to 525210000 its reverse (12525), we get a palindrome (525222525).

It can be divided in two parts, 525 and 210000, that multiplied together give a square (110250000 = 10500²).

The spelling of 525210000 in words is "five hundred twenty-five million, two hundred ten thousand".