525166720 has 256 divisors, whose sum is σ = 1480550400. Its totient is φ = 176357376.

The previous prime is 525166711. The next prime is 525166721. The reversal of 525166720 is 27661525.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525166721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6647641 + ... + 6647719.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^525166720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

525166720 is an abundant number, since it is smaller than the sum of its proper divisors (955383680).

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

525166720 is a wasteful number, since it uses less digits than its factorization.

525166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 525166720 is about 22916.5163146583. The cubic root of 525166720 is about 806.7997078869.

The spelling of 525166720 in words is "five hundred twenty-five million, one hundred sixty-six thousand, seven hundred twenty".