36413391991201 has 9 divisors (see below), whose sum is σ = 36660322556851. Its totient is φ = 36168113726104.

The previous prime is 36413391991181. The next prime is 36413391991219. The reversal of 36413391991201 is 10219919331463.

The square root of 36413391991201 is 6034351.

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., 4266079571601 + 32147312419600 = 2065449^2 + 5669860^2 .

It is not a de Polignac number, because 36413391991201 - 2¹¹ = 36413391989153 is a prime.

It is a super-4 number, since 4×36413391991201⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36413391991901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 899098050 + ... + 899138548.

Almost surely, 2^{36413391991201} is an apocalyptic number.

36413391991201 is the 6034351-st square number.

36413391991201 is the 3017176-th centered octagonal number.

It is an amenable number.

36413391991201 is a deficient number, since it is larger than the sum of its proper divisors (246930565650).

36413391991201 is an frugal number, since it uses more digits than its factorization.

36413391991201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81296 (or 40648 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 52.

The spelling of 36413391991201 in words is "thirty-six trillion, four hundred thirteen billion, three hundred ninety-one million, nine hundred ninety-one thousand, two hundred one".