31434300409 has 2 divisors, whose sum is σ = 31434300410. Its totient is φ = 31434300408.

The previous prime is 31434300407. The next prime is 31434300437. The reversal of 31434300409 is 90400343413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30758144400 + 676156009 = 175380^2 + 26003^2 .

It is a cyclic number.

It is not a de Polignac number, because 31434300409 - 2¹ = 31434300407 is a prime.

Together with 31434300407, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31434300407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15717150204 + 15717150205.

It is an arithmetic number, because the mean of its divisors is an integer number (15717150205).

Almost surely, 2^31434300409 is an apocalyptic number.

It is an amenable number.

31434300409 is a deficient number, since it is larger than the sum of its proper divisors (1).

31434300409 is an equidigital number, since it uses as much as digits as its factorization.

31434300409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 31434300409 in words is "thirty-one billion, four hundred thirty-four million, three hundred thousand, four hundred nine".