10055105800613 has 2 divisors, whose sum is σ = 10055105800614. Its totient is φ = 10055105800612.

The previous prime is 10055105800567. The next prime is 10055105800627. The reversal of 10055105800613 is 31600850155001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6492064490209 + 3563041310404 = 2547953^2 + 1887602^2 .

It is a cyclic number.

It is not a de Polignac number, because 10055105800613 - 2¹⁰ = 10055105799589 is a prime.

It is a super-2 number, since 2×10055105800613² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10055105800673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5027552900306 + 5027552900307.

It is an arithmetic number, because the mean of its divisors is an integer number (5027552900307).

Almost surely, 2^{10055105800613} is an apocalyptic number.

It is an amenable number.

10055105800613 is a deficient number, since it is larger than the sum of its proper divisors (1).

10055105800613 is an equidigital number, since it uses as much as digits as its factorization.

10055105800613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 35.

Adding to 10055105800613 its reverse (31600850155001), we get a palindrome (41655955955614).

The spelling of 10055105800613 in words is "ten trillion, fifty-five billion, one hundred five million, eight hundred thousand, six hundred thirteen".