1525960656 has 240 divisors, whose sum is σ = 4828262400. Its totient is φ = 445927680.

The previous prime is 1525960637. The next prime is 1525960669. The reversal of 1525960656 is 6560695251.

1525960656 is a `hidden beast` number, since 1 + 5 + 2 + 596 + 0 + 6 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7668045 + ... + 7668243.

It is an arithmetic number, because the mean of its divisors is an integer number (20117760).

Almost surely, 2^1525960656 is an apocalyptic number.

1525960656 is a gapful number since it is divisible by the number (16) 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 1525960656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414131200).

1525960656 is an abundant number, since it is smaller than the sum of its proper divisors (3302301744).

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

1525960656 is a wasteful number, since it uses less digits than its factorization.

1525960656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 1525960656 is about 39063.5463827851. The cubic root of 1525960656 is about 1151.2804027381.

The spelling of 1525960656 in words is "one billion, five hundred twenty-five million, nine hundred sixty thousand, six hundred fifty-six".