36436761760457 has 2 divisors, whose sum is σ = 36436761760458. Its totient is φ = 36436761760456.

The previous prime is 36436761760433. The next prime is 36436761760459. The reversal of 36436761760457 is 75406716763463.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23237229891001 + 13199531869456 = 4820501^2 + 3633116^2 .

It is a cyclic number.

It is not a de Polignac number, because 36436761760457 - 2²⁶ = 36436694651593 is a prime.

Together with 36436761760459, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36436761760393 and 36436761760402.

It is not a weakly prime, because it can be changed into another prime (36436761760459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18218380880228 + 18218380880229.

It is an arithmetic number, because the mean of its divisors is an integer number (18218380880229).

Almost surely, 2^{36436761760457} is an apocalyptic number.

It is an amenable number.

36436761760457 is a deficient number, since it is larger than the sum of its proper divisors (1).

36436761760457 is an equidigital number, since it uses as much as digits as its factorization.

36436761760457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320060160, while the sum is 65.

The spelling of 36436761760457 in words is "thirty-six trillion, four hundred thirty-six billion, seven hundred sixty-one million, seven hundred sixty thousand, four hundred fifty-seven".