36772583124033 has 24 divisors (see below), whose sum is σ = 53126053837376. Its totient is φ = 24510394260000.

The previous prime is 36772583123987. The next prime is 36772583124037. The reversal of 36772583124033 is 33042138527763.

36772583124033 is a `hidden beast` number, since 3 + 6 + 7 + 7 + 2 + 583 + 1 + 24 + 0 + 33 = 666.

It is not a de Polignac number, because 36772583124033 - 2¹⁴ = 36772583107649 is a prime.

It is a super-2 number, since 2×36772583124033² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36772583124037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1829380683 + ... + 1829400783.

Almost surely, 2^{36772583124033} is an apocalyptic number.

It is an amenable number.

36772583124033 is a deficient number, since it is larger than the sum of its proper divisors (16353470713343).

36772583124033 is a wasteful number, since it uses less digits than its factorization.

36772583124033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48645 (or 48642 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 36772583124033 in words is "thirty-six trillion, seven hundred seventy-two billion, five hundred eighty-three million, one hundred twenty-four thousand, thirty-three".