10137437509 has 2 divisors, whose sum is σ = 10137437510. Its totient is φ = 10137437508.

The previous prime is 10137437477. The next prime is 10137437533. The reversal of 10137437509 is 90573473101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6536237409 + 3601200100 = 80847^2 + 60010^2 .

It is an emirp because it is prime and its reverse (90573473101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10137437509 - 2⁵ = 10137437477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10135437509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068718754 + 5068718755.

It is an arithmetic number, because the mean of its divisors is an integer number (5068718755).

Almost surely, 2^10137437509 is an apocalyptic number.

It is an amenable number.

10137437509 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137437509 is an equidigital number, since it uses as much as digits as its factorization.

10137437509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 40.

The spelling of 10137437509 in words is "ten billion, one hundred thirty-seven million, four hundred thirty-seven thousand, five hundred nine".