36105355141357 has 2 divisors, whose sum is σ = 36105355141358. Its totient is φ = 36105355141356.

The previous prime is 36105355141201. The next prime is 36105355141363. The reversal of 36105355141357 is 75314155350163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33987430855876 + 2117924285481 = 5829874^2 + 1455309^2 .

It is a cyclic number.

It is not a de Polignac number, because 36105355141357 - 2³⁵ = 36070995402989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36105355141357.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36105355145357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18052677570678 + 18052677570679.

It is an arithmetic number, because the mean of its divisors is an integer number (18052677570679).

Almost surely, 2^{36105355141357} is an apocalyptic number.

It is an amenable number.

36105355141357 is a deficient number, since it is larger than the sum of its proper divisors (1).

36105355141357 is an equidigital number, since it uses as much as digits as its factorization.

36105355141357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2835000, while the sum is 49.

The spelling of 36105355141357 in words is "thirty-six trillion, one hundred five billion, three hundred fifty-five million, one hundred forty-one thousand, three hundred fifty-seven".