525451680 has 144 divisors (see below), whose sum is σ = 1931103720. Its totient is φ = 129337344.

The previous prime is 525451637. The next prime is 525451687. The reversal of 525451680 is 86154525.

525451680 is a `hidden beast` number, since 52 + 545 + 1 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 218921616 + 306530064 = 14796^2 + 17508^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525451687) 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 23 ways as a sum of consecutive naturals, for example, 4686 + ... + 32754.

Almost surely, 2^525451680 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 525451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965551860).

525451680 is an abundant number, since it is smaller than the sum of its proper divisors (1405652040).

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

525451680 is a wasteful number, since it uses less digits than its factorization.

525451680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28103 (or 28092 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 525451680 is about 22922.7328213719. The cubic root of 525451680 is about 806.9456069990.

The spelling of 525451680 in words is "five hundred twenty-five million, four hundred fifty-one thousand, six hundred eighty".