431513993 has 2 divisors, whose sum is σ = 431513994. Its totient is φ = 431513992.

The previous prime is 431513947. The next prime is 431514001. The reversal of 431513993 is 399315134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 421604089 + 9909904 = 20533^2 + 3148^2 .

It is a cyclic number.

It is not a de Polignac number, because 431513993 - 2¹⁴ = 431497609 is a prime.

It is not a weakly prime, because it can be changed into another prime (431513923) 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, 215756996 + 215756997.

It is an arithmetic number, because the mean of its divisors is an integer number (215756997).

Almost surely, 2^431513993 is an apocalyptic number.

It is an amenable number.

431513993 is a deficient number, since it is larger than the sum of its proper divisors (1).

431513993 is an equidigital number, since it uses as much as digits as its factorization.

431513993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43740, while the sum is 38.

The square root of 431513993 is about 20772.9148893457. The cubic root of 431513993 is about 755.6690372422.

The spelling of 431513993 in words is "four hundred thirty-one million, five hundred thirteen thousand, nine hundred ninety-three".