10137613 has 2 divisors, whose sum is σ = 10137614. Its totient is φ = 10137612.

The previous prime is 10137607. The next prime is 10137623. The reversal of 10137613 is 31673101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5484964 + 4652649 = 2342^2 + 2157^2 .

It is an emirp because it is prime and its reverse (31673101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10137613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10137623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068806 + 5068807.

It is an arithmetic number, because the mean of its divisors is an integer number (5068807).

Almost surely, 2^10137613 is an apocalyptic number.

It is an amenable number.

10137613 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137613 is an equidigital number, since it uses as much as digits as its factorization.

10137613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 10137613 is about 3183.9618402236. The cubic root of 10137613 is about 216.4272308317.

The spelling of 10137613 in words is "ten million, one hundred thirty-seven thousand, six hundred thirteen".