431101057 has 2 divisors, whose sum is σ = 431101058. Its totient is φ = 431101056.

The previous prime is 431101039. The next prime is 431101067. The reversal of 431101057 is 750101134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 386358336 + 44742721 = 19656^2 + 6689^2 .

It is a cyclic number.

It is not a de Polignac number, because 431101057 - 2¹⁵ = 431068289 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (431101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215550528 + 215550529.

It is an arithmetic number, because the mean of its divisors is an integer number (215550529).

Almost surely, 2^431101057 is an apocalyptic number.

It is an amenable number.

431101057 is a deficient number, since it is larger than the sum of its proper divisors (1).

431101057 is an equidigital number, since it uses as much as digits as its factorization.

431101057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 431101057 is about 20762.9732215788. The cubic root of 431101057 is about 755.4279152518.

The spelling of 431101057 in words is "four hundred thirty-one million, one hundred one thousand, fifty-seven".