137583013 has 2 divisors, whose sum is σ = 137583014. Its totient is φ = 137583012.

The previous prime is 137583011. The next prime is 137583031. The reversal of 137583013 is 310385731.

It is a happy number.

Together with next prime (137583031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109035364 + 28547649 = 10442^2 + 5343^2 .

It is a cyclic number.

It is not a de Polignac number, because 137583013 - 2¹ = 137583011 is a prime.

Together with 137583011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137583011) 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, 68791506 + 68791507.

It is an arithmetic number, because the mean of its divisors is an integer number (68791507).

Almost surely, 2^137583013 is an apocalyptic number.

It is an amenable number.

137583013 is a deficient number, since it is larger than the sum of its proper divisors (1).

137583013 is an equidigital number, since it uses as much as digits as its factorization.

137583013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 137583013 is about 11729.5785516787. The cubic root of 137583013 is about 516.2439067341.

The spelling of 137583013 in words is "one hundred thirty-seven million, five hundred eighty-three thousand, thirteen".