431551405457 has 2 divisors, whose sum is σ = 431551405458. Its totient is φ = 431551405456.

The previous prime is 431551405433. The next prime is 431551405469. The reversal of 431551405457 is 754504155134.

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., 417224273041 + 14327132416 = 645929^2 + 119696^2 .

It is a cyclic number.

It is not a de Polignac number, because 431551405457 - 2¹⁰ = 431551404433 is a prime.

It is not a weakly prime, because it can be changed into another prime (431551405157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215775702728 + 215775702729.

It is an arithmetic number, because the mean of its divisors is an integer number (215775702729).

Almost surely, 2^431551405457 is an apocalyptic number.

It is an amenable number.

431551405457 is a deficient number, since it is larger than the sum of its proper divisors (1).

431551405457 is an equidigital number, since it uses as much as digits as its factorization.

431551405457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840000, while the sum is 44.

The spelling of 431551405457 in words is "four hundred thirty-one billion, five hundred fifty-one million, four hundred five thousand, four hundred fifty-seven".