10349117873 has 2 divisors, whose sum is σ = 10349117874. Its totient is φ = 10349117872.

The previous prime is 10349117773. The next prime is 10349117899. The reversal of 10349117873 is 37871194301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6356394529 + 3992723344 = 79727^2 + 63188^2 .

It is a cyclic number.

It is not a de Polignac number, because 10349117873 - 2⁸ = 10349117617 is a prime.

It is not a weakly prime, because it can be changed into another prime (10349117173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5174558936 + 5174558937.

It is an arithmetic number, because the mean of its divisors is an integer number (5174558937).

Almost surely, 2^10349117873 is an apocalyptic number.

It is an amenable number.

10349117873 is a deficient number, since it is larger than the sum of its proper divisors (1).

10349117873 is an equidigital number, since it uses as much as digits as its factorization.

10349117873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 44.

The spelling of 10349117873 in words is "ten billion, three hundred forty-nine million, one hundred seventeen thousand, eight hundred seventy-three".