36576501718201 has 27 divisors (see below), whose sum is σ = 37507954301733. Its totient is φ = 35668047971640.

The previous prime is 36576501718139. The next prime is 36576501718243. The reversal of 36576501718201 is 10281710567563.

The square root of 36576501718201 is 6047851.

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

It is not a de Polignac number, because 36576501718201 - 2¹⁹ = 36576501193913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36576501718301) 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, 44227933950 + ... + 44227934776.

Almost surely, 2^{36576501718201} is an apocalyptic number.

36576501718201 is the 6047851-st square number.

36576501718201 is the 3023926-th centered octagonal number.

It is an amenable number.

36576501718201 is a deficient number, since it is larger than the sum of its proper divisors (931452583532).

36576501718201 is an frugal number, since it uses more digits than its factorization.

36576501718201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 52.

The spelling of 36576501718201 in words is "thirty-six trillion, five hundred seventy-six billion, five hundred one million, seven hundred eighteen thousand, two hundred one".