10036874804137 has 2 divisors, whose sum is σ = 10036874804138. Its totient is φ = 10036874804136.

The previous prime is 10036874804107. The next prime is 10036874804153. The reversal of 10036874804137 is 73140847863001.

10036874804137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5346657296656 + 4690217507481 = 2312284^2 + 2165691^2 .

It is a cyclic number.

It is not a de Polignac number, because 10036874804137 - 2¹⁵ = 10036874771369 is a prime.

It is a super-3 number, since 3×10036874804137³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10036874804107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5018437402068 + 5018437402069.

It is an arithmetic number, because the mean of its divisors is an integer number (5018437402069).

Almost surely, 2^{10036874804137} is an apocalyptic number.

It is an amenable number.

10036874804137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10036874804137 is an equidigital number, since it uses as much as digits as its factorization.

10036874804137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 10036874804137 in words is "ten trillion, thirty-six billion, eight hundred seventy-four million, eight hundred four thousand, one hundred thirty-seven".