36504009761 has 2 divisors, whose sum is σ = 36504009762. Its totient is φ = 36504009760.

The previous prime is 36504009733. The next prime is 36504009769. The reversal of 36504009761 is 16790040563.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31242683536 + 5261326225 = 176756^2 + 72535^2 .

It is an emirp because it is prime and its reverse (16790040563) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36504009761 - 2²⁶ = 36436900897 is a prime.

It is not a weakly prime, because it can be changed into another prime (36504009769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18252004880 + 18252004881.

It is an arithmetic number, because the mean of its divisors is an integer number (18252004881).

Almost surely, 2^36504009761 is an apocalyptic number.

It is an amenable number.

36504009761 is a deficient number, since it is larger than the sum of its proper divisors (1).

36504009761 is an equidigital number, since it uses as much as digits as its factorization.

36504009761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 36504009761 in words is "thirty-six billion, five hundred four million, nine thousand, seven hundred sixty-one".