10055005056361 has 2 divisors, whose sum is σ = 10055005056362. Its totient is φ = 10055005056360.

The previous prime is 10055005056353. The next prime is 10055005056443. The reversal of 10055005056361 is 16365050055001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9918367630336 + 136637426025 = 3149344^2 + 369645^2 .

It is a cyclic number.

It is not a de Polignac number, because 10055005056361 - 2³ = 10055005056353 is a prime.

It is a super-2 number, since 2×10055005056361² (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 10055005056361.

It is not a weakly prime, because it can be changed into another prime (10055005056661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5027502528180 + 5027502528181.

It is an arithmetic number, because the mean of its divisors is an integer number (5027502528181).

Almost surely, 2^{10055005056361} is an apocalyptic number.

It is an amenable number.

10055005056361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10055005056361 is an equidigital number, since it uses as much as digits as its factorization.

10055005056361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 67500, while the sum is 37.

The spelling of 10055005056361 in words is "ten trillion, fifty-five billion, five million, fifty-six thousand, three hundred sixty-one".