137270513 has 2 divisors, whose sum is σ = 137270514. Its totient is φ = 137270512.

The previous prime is 137270453. The next prime is 137270519. The reversal of 137270513 is 315072731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122921569 + 14348944 = 11087^2 + 3788^2 .

It is a cyclic number.

It is not a de Polignac number, because 137270513 - 2¹⁸ = 137008369 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137270519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68635256 + 68635257.

It is an arithmetic number, because the mean of its divisors is an integer number (68635257).

Almost surely, 2^137270513 is an apocalyptic number.

It is an amenable number.

137270513 is a deficient number, since it is larger than the sum of its proper divisors (1).

137270513 is an equidigital number, since it uses as much as digits as its factorization.

137270513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 137270513 is about 11716.2499546570. The cubic root of 137270513 is about 515.8527525386.

The spelling of 137270513 in words is "one hundred thirty-seven million, two hundred seventy thousand, five hundred thirteen".