61026742606681 has 2 divisors, whose sum is σ = 61026742606682. Its totient is φ = 61026742606680.

The previous prime is 61026742606673. The next prime is 61026742606717. The reversal of 61026742606681 is 18660624762016.

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., 33440255390025 + 27586487216656 = 5782755^2 + 5252284^2 .

It is a cyclic number.

It is not a de Polignac number, because 61026742606681 - 2³ = 61026742606673 is a prime.

It is a super-2 number, since 2×61026742606681² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61026742606981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30513371303340 + 30513371303341.

It is an arithmetic number, because the mean of its divisors is an integer number (30513371303341).

Almost surely, 2^{61026742606681} is an apocalyptic number.

It is an amenable number.

61026742606681 is a deficient number, since it is larger than the sum of its proper divisors (1).

61026742606681 is an equidigital number, since it uses as much as digits as its factorization.

61026742606681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 61026742606681 in words is "sixty-one trillion, twenty-six billion, seven hundred forty-two million, six hundred six thousand, six hundred eighty-one".