525042000 has 400 divisors, whose sum is σ = 2172099072. Its totient is φ = 119750400.

The previous prime is 525041989. The next prime is 525042017. The reversal of 525042000 is 240525.

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 (18).

It is a congruent number.

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, 1133769 + ... + 1134231.

Almost surely, 2^525042000 is an apocalyptic number.

525042000 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 525042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086049536).

525042000 is an abundant number, since it is smaller than the sum of its proper divisors (1647057072).

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

525042000 is a wasteful number, since it uses less digits than its factorization.

525042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 525042000 is about 22913.7949715886. The cubic root of 525042000 is about 806.7358348206.

Adding to 525042000 its reverse (240525), we get a palindrome (525282525).

The spelling of 525042000 in words is "five hundred twenty-five million, forty-two thousand".