10305864249881 has 2 divisors, whose sum is σ = 10305864249882. Its totient is φ = 10305864249880.

The previous prime is 10305864249773. The next prime is 10305864249883. The reversal of 10305864249881 is 18894246850301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9278359681600 + 1027504568281 = 3046040^2 + 1013659^2 .

It is a cyclic number.

It is not a de Polignac number, because 10305864249881 - 2¹⁰ = 10305864248857 is a prime.

It is a super-2 number, since 2×10305864249881² (a number of 27 digits) contains 22 as substring.

Together with 10305864249883, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10305864249881.

It is not a weakly prime, because it can be changed into another prime (10305864249883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5152932124940 + 5152932124941.

It is an arithmetic number, because the mean of its divisors is an integer number (5152932124941).

Almost surely, 2^{10305864249881} is an apocalyptic number.

It is an amenable number.

10305864249881 is a deficient number, since it is larger than the sum of its proper divisors (1).

10305864249881 is an equidigital number, since it uses as much as digits as its factorization.

10305864249881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13271040, while the sum is 59.

The spelling of 10305864249881 in words is "ten trillion, three hundred five billion, eight hundred sixty-four million, two hundred forty-nine thousand, eight hundred eighty-one".