4136137626653 has 2 divisors, whose sum is σ = 4136137626654. Its totient is φ = 4136137626652.

The previous prime is 4136137626641. The next prime is 4136137626727. The reversal of 4136137626653 is 3566267316314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4133243509444 + 2894117209 = 2033038^2 + 53797^2 .

It is a cyclic number.

It is not a de Polignac number, because 4136137626653 - 2²⁸ = 4135869191197 is a prime.

It is a super-2 number, since 2×4136137626653² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4136137626595 and 4136137626604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4136137626613) 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, 2068068813326 + 2068068813327.

It is an arithmetic number, because the mean of its divisors is an integer number (2068068813327).

Almost surely, 2^{4136137626653} is an apocalyptic number.

It is an amenable number.

4136137626653 is a deficient number, since it is larger than the sum of its proper divisors (1).

4136137626653 is an equidigital number, since it uses as much as digits as its factorization.

4136137626653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9797760, while the sum is 53.

The spelling of 4136137626653 in words is "four trillion, one hundred thirty-six billion, one hundred thirty-seven million, six hundred twenty-six thousand, six hundred fifty-three".