965996088201 has 81 divisors (see below), whose sum is σ = 1511444002887. Its totient is φ = 594428284800.

The previous prime is 965996088193. The next prime is 965996088209. The reversal of 965996088201 is 102880699569.

The square root of 965996088201 is 982851.

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

965996088201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (965996088193) and next prime (965996088209).

It can be written as a sum of positive squares in only one way, i.e., 956384246601 + 9611841600 = 977949^2 + 98040^2 .

It is not a de Polignac number, because 965996088201 - 2³ = 965996088193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (965996088209) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2408967601 + ... + 2408968001.

Almost surely, 2^965996088201 is an apocalyptic number.

965996088201 is the 982851-st square number.

965996088201 is the 491426-th centered octagonal number.

It is an amenable number.

965996088201 is a deficient number, since it is larger than the sum of its proper divisors (545447914686).

965996088201 is an equidigital number, since it uses as much as digits as its factorization.

965996088201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 965996088201 in words is "nine hundred sixty-five billion, nine hundred ninety-six million, eighty-eight thousand, two hundred one".