36195372355081 has 27 divisors (see below), whose sum is σ = 37310832614997. Its totient is φ = 35112812726880.

The previous prime is 36195372355063. The next prime is 36195372355111. The reversal of 36195372355081 is 18055327359163.

It is a happy number.

The square root of 36195372355081 is 6016259.

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 31699208342025 + 4496164013056 = 5630205^2 + 2120416^2 .

It is not a de Polignac number, because 36195372355081 - 2¹¹ = 36195372353033 is a prime.

It is a super-2 number, since 2×36195372355081² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36195372365081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46824543411 + ... + 46824544183.

Almost surely, 2^{36195372355081} is an apocalyptic number.

36195372355081 is the 6016259-th square number.

36195372355081 is the 3008130-th centered octagonal number.

It is an amenable number.

36195372355081 is a deficient number, since it is larger than the sum of its proper divisors (1115460259916).

36195372355081 is an frugal number, since it uses more digits than its factorization.

36195372355081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 58.

The spelling of 36195372355081 in words is "thirty-six trillion, one hundred ninety-five billion, three hundred seventy-two million, three hundred fifty-five thousand, eighty-one".