431401112777 has 2 divisors, whose sum is σ = 431401112778. Its totient is φ = 431401112776.

The previous prime is 431401112759. The next prime is 431401112803. The reversal of 431401112777 is 777211104134.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 374949253561 + 56451859216 = 612331^2 + 237596^2 .

It is a cyclic number.

It is not a de Polignac number, because 431401112777 - 2²⁰ = 431400064201 is a prime.

It is a super-2 number, since 2×431401112777² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 431401112777.

It is not a weakly prime, because it can be changed into another prime (431401112717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215700556388 + 215700556389.

It is an arithmetic number, because the mean of its divisors is an integer number (215700556389).

Almost surely, 2^431401112777 is an apocalyptic number.

It is an amenable number.

431401112777 is a deficient number, since it is larger than the sum of its proper divisors (1).

431401112777 is an equidigital number, since it uses as much as digits as its factorization.

431401112777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32928, while the sum is 38.

The spelling of 431401112777 in words is "four hundred thirty-one billion, four hundred one million, one hundred twelve thousand, seven hundred seventy-seven".