10026561510061 has 2 divisors, whose sum is σ = 10026561510062. Its totient is φ = 10026561510060.

The previous prime is 10026561510041. The next prime is 10026561510071. The reversal of 10026561510061 is 16001516562001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8543022894025 + 1483538616036 = 2922845^2 + 1218006^2 .

It is a cyclic number.

It is not a de Polignac number, because 10026561510061 - 2¹⁹ = 10026560985773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10026561509999 and 10026561510026.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10026561510041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5013280755030 + 5013280755031.

It is an arithmetic number, because the mean of its divisors is an integer number (5013280755031).

Almost surely, 2^{10026561510061} is an apocalyptic number.

It is an amenable number.

10026561510061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10026561510061 is an equidigital number, since it uses as much as digits as its factorization.

10026561510061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 10026561510061 in words is "ten trillion, twenty-six billion, five hundred sixty-one million, five hundred ten thousand, sixty-one".