83957960025 has 135 divisors (see below), whose sum is σ = 160066794349. Its totient is φ = 43504974720.

The previous prime is 83957960011. The next prime is 83957960063. The reversal of 83957960025 is 52006975938.

The square root of 83957960025 is 289755.

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

83957960025 is a `hidden beast` number, since 8 + 3 + 9 + 5 + 7 + 9 + 600 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 244953801 + 83713006224 = 15651^2 + 289332^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 83957960025 - 2⁹ = 83957959513 is a prime.

It is a Duffinian 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 134 ways as a sum of consecutive naturals, for example, 612831757 + ... + 612831893.

Almost surely, 2^83957960025 is an apocalyptic number.

83957960025 is the 289755-th square number.

83957960025 is the 144878-th centered octagonal number.

It is an amenable number.

83957960025 is a deficient number, since it is larger than the sum of its proper divisors (76108834324).

83957960025 is an equidigital number, since it uses as much as digits as its factorization.

83957960025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 83957960025 in words is "eighty-three billion, nine hundred fifty-seven million, nine hundred sixty thousand, twenty-five".