36583120013 has 16 divisors (see below), whose sum is σ = 41466980160. Its totient is φ = 31969056000.

The previous prime is 36583119967. The next prime is 36583120103. The reversal of 36583120013 is 31002138563.

It is a cyclic number.

It is not a de Polignac number, because 36583120013 - 2⁶ = 36583119949 is a prime.

It is a super-2 number, since 2×36583120013² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36583920013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180188 + ... + 325013.

It is an arithmetic number, because the mean of its divisors is an integer number (2591686260).

Almost surely, 2^36583120013 is an apocalyptic number.

It is an amenable number.

36583120013 is a deficient number, since it is larger than the sum of its proper divisors (4883860147).

36583120013 is a wasteful number, since it uses less digits than its factorization.

36583120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505468.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 36583120013 its reverse (31002138563), we get a palindrome (67585258576).

The spelling of 36583120013 in words is "thirty-six billion, five hundred eighty-three million, one hundred twenty thousand, thirteen".