36935128057 has 2 divisors, whose sum is σ = 36935128058. Its totient is φ = 36935128056.

The previous prime is 36935128019. The next prime is 36935128063. The reversal of 36935128057 is 75082153963.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30654407056 + 6280721001 = 175084^2 + 79251^2 .

It is a cyclic number.

It is not a de Polignac number, because 36935128057 - 2¹⁵ = 36935095289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36935128057.

It is not a weakly prime, because it can be changed into another prime (36935128067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18467564028 + 18467564029.

It is an arithmetic number, because the mean of its divisors is an integer number (18467564029).

Almost surely, 2^36935128057 is an apocalyptic number.

It is an amenable number.

36935128057 is a deficient number, since it is larger than the sum of its proper divisors (1).

36935128057 is an equidigital number, since it uses as much as digits as its factorization.

36935128057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 36935128057 in words is "thirty-six billion, nine hundred thirty-five million, one hundred twenty-eight thousand, fifty-seven".