36982824813 has 12 divisors (see below), whose sum is σ = 58275966528. Its totient is φ = 22413833160.

The previous prime is 36982824803. The next prime is 36982824821. The reversal of 36982824813 is 31842828963.

36982824813 is a `hidden beast` number, since 3 + 6 + 9 + 82 + 82 + 481 + 3 = 666.

It is not a de Polignac number, because 36982824813 - 2¹⁰ = 36982823789 is a prime.

It is a super-3 number, since 3×36982824813³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36982824813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36982824803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186781845 + ... + 186782042.

It is an arithmetic number, because the mean of its divisors is an integer number (4856330544).

Almost surely, 2^36982824813 is an apocalyptic number.

36982824813 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

36982824813 is a deficient number, since it is larger than the sum of its proper divisors (21293141715).

36982824813 is a wasteful number, since it uses less digits than its factorization.

36982824813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373563904 (or 373563901 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 36982824813 in words is "thirty-six billion, nine hundred eighty-two million, eight hundred twenty-four thousand, eight hundred thirteen".