756891300025 has 135 divisors (see below), whose sum is σ = 1132857226221. Its totient is φ = 501618237120.

The previous prime is 756891300023. The next prime is 756891300049. The reversal of 756891300025 is 520003198657.

The square root of 756891300025 is 869995.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5701609081 + 751189690944 = 75509^2 + 866712^2 .

It is not a de Polignac number, because 756891300025 - 2¹ = 756891300023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (756891300023) 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 134 ways as a sum of consecutive naturals, for example, 11296885042 + ... + 11296885108.

Almost surely, 2^756891300025 is an apocalyptic number.

756891300025 is the 869995-th square number.

756891300025 is the 434998-th centered octagonal number.

It is an amenable number.

756891300025 is a deficient number, since it is larger than the sum of its proper divisors (375965926196).

756891300025 is an frugal number, since it uses more digits than its factorization.

756891300025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 756891300025 in words is "seven hundred fifty-six billion, eight hundred ninety-one million, three hundred thousand, twenty-five".