36580770121 has 27 divisors (see below), whose sum is σ = 43177279239. Its totient is φ = 30901657248.

The previous prime is 36580770101. The next prime is 36580770151. The reversal of 36580770121 is 12107708563.

The square root of 36580770121 is 191261.

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., 7024283721 + 29556486400 = 83811^2 + 171920^2 .

It is not a de Polignac number, because 36580770121 - 2²³ = 36572381513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36580770101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119155450 + ... + 119155756.

Almost surely, 2^36580770121 is an apocalyptic number.

36580770121 is the 191261-st square number.

36580770121 is the 95631-st centered octagonal number.

It is an amenable number.

36580770121 is a deficient number, since it is larger than the sum of its proper divisors (6596509118).

36580770121 is an frugal number, since it uses more digits than its factorization.

36580770121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 36580770121 in words is "thirty-six billion, five hundred eighty million, seven hundred seventy thousand, one hundred twenty-one".