3137126513 has 2 divisors, whose sum is σ = 3137126514. Its totient is φ = 3137126512.

The previous prime is 3137126459. The next prime is 3137126581. The reversal of 3137126513 is 3156217313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3090025744 + 47100769 = 55588^2 + 6863^2 .

It is an emirp because it is prime and its reverse (3156217313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3137126513 - 2¹⁴ = 3137110129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3137126513.

It is not a weakly prime, because it can be changed into another prime (3137126593) 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, 1568563256 + 1568563257.

It is an arithmetic number, because the mean of its divisors is an integer number (1568563257).

Almost surely, 2^3137126513 is an apocalyptic number.

It is an amenable number.

3137126513 is a deficient number, since it is larger than the sum of its proper divisors (1).

3137126513 is an equidigital number, since it uses as much as digits as its factorization.

3137126513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11340, while the sum is 32.

The square root of 3137126513 is about 56010.0572486763. The cubic root of 3137126513 is about 1463.8975289902.

The spelling of 3137126513 in words is "three billion, one hundred thirty-seven million, one hundred twenty-six thousand, five hundred thirteen".