623138517301 has 2 divisors, whose sum is σ = 623138517302. Its totient is φ = 623138517300.

The previous prime is 623138517247. The next prime is 623138517319. The reversal of 623138517301 is 103715831326.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 335558367076 + 287580150225 = 579274^2 + 536265^2 .

It is a cyclic number.

It is not a de Polignac number, because 623138517301 - 2⁷ = 623138517173 is a prime.

It is a super-2 number, since 2×623138517301² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (623138517601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 311569258650 + 311569258651.

It is an arithmetic number, because the mean of its divisors is an integer number (311569258651).

Almost surely, 2^623138517301 is an apocalyptic number.

It is an amenable number.

623138517301 is a deficient number, since it is larger than the sum of its proper divisors (1).

623138517301 is an equidigital number, since it uses as much as digits as its factorization.

623138517301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 623138517301 in words is "six hundred twenty-three billion, one hundred thirty-eight million, five hundred seventeen thousand, three hundred one".