61742045585081 has 2 divisors, whose sum is σ = 61742045585082. Its totient is φ = 61742045585080.

The previous prime is 61742045584969. The next prime is 61742045585113. The reversal of 61742045585081 is 18058554024716.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39582280188025 + 22159765397056 = 6291445^2 + 4707416^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61742045585081 is a prime.

It is a super-2 number, since 2×61742045585081² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61742045585281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30871022792540 + 30871022792541.

It is an arithmetic number, because the mean of its divisors is an integer number (30871022792541).

Almost surely, 2^{61742045585081} is an apocalyptic number.

It is an amenable number.

61742045585081 is a deficient number, since it is larger than the sum of its proper divisors (1).

61742045585081 is an equidigital number, since it uses as much as digits as its factorization.

61742045585081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752000, while the sum is 56.

The spelling of 61742045585081 in words is "sixty-one trillion, seven hundred forty-two billion, forty-five million, five hundred eighty-five thousand, eighty-one".