137438563 has 2 divisors, whose sum is σ = 137438564. Its totient is φ = 137438562.

The previous prime is 137438513. The next prime is 137438597. The reversal of 137438563 is 365834731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137438563 - 2⁹ = 137438051 is a prime.

It is not a weakly prime, because it can be changed into another prime (137438513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68719281 + 68719282.

It is an arithmetic number, because the mean of its divisors is an integer number (68719282).

Almost surely, 2^137438563 is an apocalyptic number.

137438563 is a deficient number, since it is larger than the sum of its proper divisors (1).

137438563 is an equidigital number, since it uses as much as digits as its factorization.

137438563 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 40.

The square root of 137438563 is about 11723.4194243830. The cubic root of 137438563 is about 516.0631733143.

The spelling of 137438563 in words is "one hundred thirty-seven million, four hundred thirty-eight thousand, five hundred sixty-three".