36312808572121 has 9 divisors (see below), whose sum is σ = 37102149472831. Its totient is φ = 35539918427272.

The previous prime is 36312808572017. The next prime is 36312808572181. The reversal of 36312808572121 is 12127580821363.

The square root of 36312808572121 is 6026011.

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

It can be written as a sum of positive squares in only one way, i.e., 36257318174025 + 55490398096 = 6021405^2 + 235564^2 .

It is not a de Polignac number, because 36312808572121 - 2²¹ = 36312806474969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36312808572181) 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 8 ways as a sum of consecutive naturals, for example, 283158411 + ... + 283286623.

Almost surely, 2^{36312808572121} is an apocalyptic number.

36312808572121 is the 6026011-st square number.

36312808572121 is the 3013006-th centered octagonal number.

It is an amenable number.

36312808572121 is a deficient number, since it is larger than the sum of its proper divisors (789340900710).

36312808572121 is an frugal number, since it uses more digits than its factorization.

36312808572121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256520 (or 128260 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 36312808572121 in words is "thirty-six trillion, three hundred twelve billion, eight hundred eight million, five hundred seventy-two thousand, one hundred twenty-one".