417745607938523 has 2 divisors, whose sum is σ = 417745607938524. Its totient is φ = 417745607938522.

The previous prime is 417745607938507. The next prime is 417745607938577. The reversal of 417745607938523 is 325839706547714.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 417745607938523 - 2⁴ = 417745607938507 is a prime.

It is a super-2 number, since 2×417745607938523² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (417745607937523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208872803969261 + 208872803969262.

It is an arithmetic number, because the mean of its divisors is an integer number (208872803969262).

It is a 2-persistent number, because it is pandigital, and so is 2⋅417745607938523 = 835491215877046, but 3⋅417745607938523 = 1253236823815569 is not.

Almost surely, 2^{417745607938523} is an apocalyptic number.

417745607938523 is a deficient number, since it is larger than the sum of its proper divisors (1).

417745607938523 is an equidigital number, since it uses as much as digits as its factorization.

417745607938523 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1066867200, while the sum is 71.

The spelling of 417745607938523 in words is "four hundred seventeen trillion, seven hundred forty-five billion, six hundred seven million, nine hundred thirty-eight thousand, five hundred twenty-three".