137053013 has 2 divisors, whose sum is σ = 137053014. Its totient is φ = 137053012.

The previous prime is 137053009. The next prime is 137053039. The reversal of 137053013 is 310350731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136375684 + 677329 = 11678^2 + 823^2 .

It is a cyclic number.

It is not a de Polignac number, because 137053013 - 2² = 137053009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137053013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137053073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68526506 + 68526507.

It is an arithmetic number, because the mean of its divisors is an integer number (68526507).

Almost surely, 2^137053013 is an apocalyptic number.

It is an amenable number.

137053013 is a deficient number, since it is larger than the sum of its proper divisors (1).

137053013 is an equidigital number, since it uses as much as digits as its factorization.

137053013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 137053013 is about 11706.9642948119. The cubic root of 137053013 is about 515.5801587108.

The spelling of 137053013 in words is "one hundred thirty-seven million, fifty-three thousand, thirteen".