36257704961 has 2 divisors, whose sum is σ = 36257704962. Its totient is φ = 36257704960.

The previous prime is 36257704943. The next prime is 36257704979. The reversal of 36257704961 is 16940775263.

It is a balanced prime because it is at equal distance from previous prime (36257704943) and next prime (36257704979).

It can be written as a sum of positive squares in only one way, i.e., 32333434225 + 3924270736 = 179815^2 + 62644^2 .

It is an emirp because it is prime and its reverse (16940775263) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36257704961 - 2¹⁸ = 36257442817 is a prime.

It is not a weakly prime, because it can be changed into another prime (36257700961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18128852480 + 18128852481.

It is an arithmetic number, because the mean of its divisors is an integer number (18128852481).

Almost surely, 2^36257704961 is an apocalyptic number.

It is an amenable number.

36257704961 is a deficient number, since it is larger than the sum of its proper divisors (1).

36257704961 is an equidigital number, since it uses as much as digits as its factorization.

36257704961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1905120, while the sum is 50.

The spelling of 36257704961 in words is "thirty-six billion, two hundred fifty-seven million, seven hundred four thousand, nine hundred sixty-one".