525525000 has 576 divisors, whose sum is σ = 2244231360. Its totient is φ = 100800000.

The previous prime is 525524983. The next prime is 525525067. The reversal of 525525000 is 525525.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40424994 + ... + 40425006.

It is an arithmetic number, because the mean of its divisors is an integer number (3896235).

Almost surely, 2^525525000 is an apocalyptic number.

525525000 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 525525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122115680).

525525000 is an abundant number, since it is smaller than the sum of its proper divisors (1718706360).

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

525525000 is a wasteful number, since it uses less digits than its factorization.

525525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 525525000 is about 22924.3320513379. The cubic root of 525525000 is about 806.9831382014.

525525000 divided by its reverse (525525) gives a cube (1000 = 10³).

It can be divided in two parts, 525 and 525000, that added together give a palindrome (525525).

The spelling of 525525000 in words is "five hundred twenty-five million, five hundred twenty-five thousand".