431493350417 has 2 divisors, whose sum is σ = 431493350418. Its totient is φ = 431493350416.

The previous prime is 431493350369. The next prime is 431493350423. The reversal of 431493350417 is 714053394134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 421617761041 + 9875589376 = 649321^2 + 99376^2 .

It is a cyclic number.

It is not a de Polignac number, because 431493350417 - 2²⁴ = 431476573201 is a prime.

It is a super-2 number, since 2×431493350417² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (431493350437) 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, 215746675208 + 215746675209.

It is an arithmetic number, because the mean of its divisors is an integer number (215746675209).

Almost surely, 2^431493350417 is an apocalyptic number.

It is an amenable number.

431493350417 is a deficient number, since it is larger than the sum of its proper divisors (1).

431493350417 is an equidigital number, since it uses as much as digits as its factorization.

431493350417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 431493350417 in words is "four hundred thirty-one billion, four hundred ninety-three million, three hundred fifty thousand, four hundred seventeen".