434314030210513 has 2 divisors, whose sum is σ = 434314030210514. Its totient is φ = 434314030210512.

The previous prime is 434314030210441. The next prime is 434314030210573. The reversal of 434314030210513 is 315012030413434.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 390961721653504 + 43352308557009 = 19772752^2 + 6584247^2 .

It is a cyclic number.

It is not a de Polignac number, because 434314030210513 - 2³⁷ = 434176591257041 is a prime.

It is not a weakly prime, because it can be changed into another prime (434314030210573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217157015105256 + 217157015105257.

It is an arithmetic number, because the mean of its divisors is an integer number (217157015105257).

Almost surely, 2^{434314030210513} is an apocalyptic number.

It is an amenable number.

434314030210513 is a deficient number, since it is larger than the sum of its proper divisors (1).

434314030210513 is an equidigital number, since it uses as much as digits as its factorization.

434314030210513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 434314030210513 its reverse (315012030413434), we get a palindrome (749326060623947).

The spelling of 434314030210513 in words is "four hundred thirty-four trillion, three hundred fourteen billion, thirty million, two hundred ten thousand, five hundred thirteen".