36253258800361 has 2 divisors, whose sum is σ = 36253258800362. Its totient is φ = 36253258800360.

The previous prime is 36253258800329. The next prime is 36253258800397. The reversal of 36253258800361 is 16300885235263.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22502926875625 + 13750331924736 = 4743725^2 + 3708144^2 .

It is a cyclic number.

It is not a de Polignac number, because 36253258800361 - 2⁵ = 36253258800329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36253258800299 and 36253258800308.

It is not a weakly prime, because it can be changed into another prime (36253258800301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18126629400180 + 18126629400181.

It is an arithmetic number, because the mean of its divisors is an integer number (18126629400181).

Almost surely, 2^{36253258800361} is an apocalyptic number.

It is an amenable number.

36253258800361 is a deficient number, since it is larger than the sum of its proper divisors (1).

36253258800361 is an equidigital number, since it uses as much as digits as its factorization.

36253258800361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 36253258800361 in words is "thirty-six trillion, two hundred fifty-three billion, two hundred fifty-eight million, eight hundred thousand, three hundred sixty-one".