10819293641561 has 2 divisors, whose sum is σ = 10819293641562. Its totient is φ = 10819293641560.

The previous prime is 10819293641551. The next prime is 10819293641567. The reversal of 10819293641561 is 16514639291801.

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., 7727182407961 + 3092111233600 = 2779781^2 + 1758440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10819293641561 is a prime.

It is a super-2 number, since 2×10819293641561² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10819293641497 and 10819293641506.

It is not a weakly prime, because it can be changed into another prime (10819293641567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5409646820780 + 5409646820781.

It is an arithmetic number, because the mean of its divisors is an integer number (5409646820781).

Almost surely, 2^{10819293641561} is an apocalyptic number.

It is an amenable number.

10819293641561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10819293641561 is an equidigital number, since it uses as much as digits as its factorization.

10819293641561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 56.

The spelling of 10819293641561 in words is "ten trillion, eight hundred nineteen billion, two hundred ninety-three million, six hundred forty-one thousand, five hundred sixty-one".