431177067013 has 16 divisors (see below), whose sum is σ = 537644831616. Its totient is φ = 335936240640.

The previous prime is 431177067007. The next prime is 431177067019. The reversal of 431177067013 is 310760771134.

It is an interprime number because it is at equal distance from previous prime (431177067007) and next prime (431177067019).

It is not a de Polignac number, because 431177067013 - 2⁵ = 431177066981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431177067019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190545 + ... + 947977.

It is an arithmetic number, because the mean of its divisors is an integer number (33602801976).

Almost surely, 2^431177067013 is an apocalyptic number.

It is an amenable number.

431177067013 is a deficient number, since it is larger than the sum of its proper divisors (106467764603).

431177067013 is a wasteful number, since it uses less digits than its factorization.

431177067013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764844.

The product of its (nonzero) digits is 74088, while the sum is 40.

The spelling of 431177067013 in words is "four hundred thirty-one billion, one hundred seventy-seven million, sixty-seven thousand, thirteen".