36628135013 has 2 divisors, whose sum is σ = 36628135014. Its totient is φ = 36628135012.

The previous prime is 36628135003. The next prime is 36628135067. The reversal of 36628135013 is 31053182663.

36628135013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20630438689 + 15997696324 = 143633^2 + 126482^2 .

It is a cyclic number.

It is not a de Polignac number, because 36628135013 - 2¹⁶ = 36628069477 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36628135003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18314067506 + 18314067507.

It is an arithmetic number, because the mean of its divisors is an integer number (18314067507).

Almost surely, 2^36628135013 is an apocalyptic number.

It is an amenable number.

36628135013 is a deficient number, since it is larger than the sum of its proper divisors (1).

36628135013 is an equidigital number, since it uses as much as digits as its factorization.

36628135013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 36628135013 in words is "thirty-six billion, six hundred twenty-eight million, one hundred thirty-five thousand, thirteen".