10349475821 has 2 divisors, whose sum is σ = 10349475822. Its totient is φ = 10349475820.

The previous prime is 10349475743. The next prime is 10349475823. The reversal of 10349475821 is 12857494301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7007364100 + 3342111721 = 83710^2 + 57811^2 .

It is a cyclic number.

It is not a de Polignac number, because 10349475821 - 2²² = 10345281517 is a prime.

It is a super-2 number, since 2×10349475821² (a number of 21 digits) contains 22 as substring.

Together with 10349475823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10349475823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5174737910 + 5174737911.

It is an arithmetic number, because the mean of its divisors is an integer number (5174737911).

Almost surely, 2^10349475821 is an apocalyptic number.

It is an amenable number.

10349475821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10349475821 is an equidigital number, since it uses as much as digits as its factorization.

10349475821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 10349475821 in words is "ten billion, three hundred forty-nine million, four hundred seventy-five thousand, eight hundred twenty-one".