10185504976481 has 2 divisors, whose sum is σ = 10185504976482. Its totient is φ = 10185504976480.

The previous prime is 10185504976459. The next prime is 10185504976561. The reversal of 10185504976481 is 18467940558101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6539757717025 + 3645747259456 = 2557295^2 + 1909384^2 .

It is a cyclic number.

It is not a de Polignac number, because 10185504976481 - 2³⁸ = 9910627069537 is a prime.

It is a super-2 number, since 2×10185504976481² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10185504976481.

It is not a weakly prime, because it can be changed into another prime (10185504973481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5092752488240 + 5092752488241.

It is an arithmetic number, because the mean of its divisors is an integer number (5092752488241).

Almost surely, 2^{10185504976481} is an apocalyptic number.

It is an amenable number.

10185504976481 is a deficient number, since it is larger than the sum of its proper divisors (1).

10185504976481 is an equidigital number, since it uses as much as digits as its factorization.

10185504976481 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9676800, while the sum is 59.

The spelling of 10185504976481 in words is "ten trillion, one hundred eighty-five billion, five hundred four million, nine hundred seventy-six thousand, four hundred eighty-one".