36661217252557 has 2 divisors, whose sum is σ = 36661217252558. Its totient is φ = 36661217252556.

The previous prime is 36661217252393. The next prime is 36661217252599. The reversal of 36661217252557 is 75525271216663.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36404944389801 + 256272862756 = 6033651^2 + 506234^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36661217252557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36661217222557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18330608626278 + 18330608626279.

It is an arithmetic number, because the mean of its divisors is an integer number (18330608626279).

Almost surely, 2^{36661217252557} is an apocalyptic number.

It is an amenable number.

36661217252557 is a deficient number, since it is larger than the sum of its proper divisors (1).

36661217252557 is an equidigital number, since it uses as much as digits as its factorization.

36661217252557 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752000, while the sum is 58.

The spelling of 36661217252557 in words is "thirty-six trillion, six hundred sixty-one billion, two hundred seventeen million, two hundred fifty-two thousand, five hundred fifty-seven".