36012613104601 has 81 divisors (see below), whose sum is σ = 44901202297887. Its totient is φ = 28793522782080.

The previous prime is 36012613104539. The next prime is 36012613104607. The reversal of 36012613104601 is 10640131621063.

The square root of 36012613104601 is 6001051.

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., 28037501552025 + 7975111552576 = 5295045^2 + 2824024^2 .

It is not a de Polignac number, because 36012613104601 - 2⁹ = 36012613104089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36012613104607) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 150680389440 + ... + 150680389678.

Almost surely, 2^{36012613104601} is an apocalyptic number.

36012613104601 is the 6001051-st square number.

36012613104601 is the 3000526-th centered octagonal number.

It is an amenable number.

36012613104601 is a deficient number, since it is larger than the sum of its proper divisors (8888589193286).

36012613104601 is an frugal number, since it uses more digits than its factorization.

36012613104601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

Adding to 36012613104601 its reverse (10640131621063), we get a palindrome (46652744725664).

The spelling of 36012613104601 in words is "thirty-six trillion, twelve billion, six hundred thirteen million, one hundred four thousand, six hundred one".