36905457900491 has 2 divisors, whose sum is σ = 36905457900492. Its totient is φ = 36905457900490.

The previous prime is 36905457900439. The next prime is 36905457900527. The reversal of 36905457900491 is 19400975450963.

36905457900491 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 36905457900491 - 2¹⁰ = 36905457899467 is a prime.

It is not a weakly prime, because it can be changed into another prime (36905457903491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18452728950245 + 18452728950246.

It is an arithmetic number, because the mean of its divisors is an integer number (18452728950246).

Almost surely, 2^{36905457900491} is an apocalyptic number.

36905457900491 is a deficient number, since it is larger than the sum of its proper divisors (1).

36905457900491 is an equidigital number, since it uses as much as digits as its factorization.

36905457900491 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36741600, while the sum is 62.

The spelling of 36905457900491 in words is "thirty-six trillion, nine hundred five billion, four hundred fifty-seven million, nine hundred thousand, four hundred ninety-one".