36505718202257 has 2 divisors, whose sum is σ = 36505718202258. Its totient is φ = 36505718202256.

The previous prime is 36505718202209. The next prime is 36505718202263. The reversal of 36505718202257 is 75220281750563.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19122814145296 + 17382904056961 = 4372964^2 + 4169281^2 .

It is a cyclic number.

It is not a de Polignac number, because 36505718202257 - 2²² = 36505714007953 is a prime.

It is a super-2 number, since 2×36505718202257² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36505718202199 and 36505718202208.

It is not a weakly prime, because it can be changed into another prime (36505718202557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18252859101128 + 18252859101129.

It is an arithmetic number, because the mean of its divisors is an integer number (18252859101129).

Almost surely, 2^{36505718202257} is an apocalyptic number.

It is an amenable number.

36505718202257 is a deficient number, since it is larger than the sum of its proper divisors (1).

36505718202257 is an equidigital number, since it uses as much as digits as its factorization.

36505718202257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7056000, while the sum is 53.

The spelling of 36505718202257 in words is "thirty-six trillion, five hundred five billion, seven hundred eighteen million, two hundred two thousand, two hundred fifty-seven".