137505517 has 2 divisors, whose sum is σ = 137505518. Its totient is φ = 137505516.

The previous prime is 137505509. The next prime is 137505539. The reversal of 137505517 is 715505731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113827561 + 23677956 = 10669^2 + 4866^2 .

It is a cyclic number.

It is not a de Polignac number, because 137505517 - 2³ = 137505509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137505917) 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, 68752758 + 68752759.

It is an arithmetic number, because the mean of its divisors is an integer number (68752759).

Almost surely, 2^137505517 is an apocalyptic number.

It is an amenable number.

137505517 is a deficient number, since it is larger than the sum of its proper divisors (1).

137505517 is an equidigital number, since it uses as much as digits as its factorization.

137505517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18375, while the sum is 34.

The square root of 137505517 is about 11726.2746428693. The cubic root of 137505517 is about 516.1469607745.

The spelling of 137505517 in words is "one hundred thirty-seven million, five hundred five thousand, five hundred seventeen".