525057000 has 128 divisors (see below), whose sum is σ = 1764322560. Its totient is φ = 129235200.

The previous prime is 525056981. The next prime is 525057007. The reversal of 525057000 is 750525.

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

It is not an unprimeable number, because it can be changed into a prime (525057007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32269 + ... + 45731.

It is an arithmetic number, because the mean of its divisors is an integer number (13783770).

Almost surely, 2^525057000 is an apocalyptic number.

525057000 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 525057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882161280).

525057000 is an abundant number, since it is smaller than the sum of its proper divisors (1239265560).

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

525057000 is a wasteful number, since it uses less digits than its factorization.

525057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13500 (or 13486 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 525057000 is about 22914.1222829940. The cubic root of 525057000 is about 806.7435173312.

The spelling of 525057000 in words is "five hundred twenty-five million, fifty-seven thousand".