61506601567109 has 2 divisors, whose sum is σ = 61506601567110. Its totient is φ = 61506601567108.

The previous prime is 61506601567091. The next prime is 61506601567259. The reversal of 61506601567109 is 90176510660516.

Together with previous prime (61506601567091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61235241837025 + 271359730084 = 7825295^2 + 520922^2 .

It is a cyclic number.

It is not a de Polignac number, because 61506601567109 - 2⁸ = 61506601566853 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61506601560109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30753300783554 + 30753300783555.

It is an arithmetic number, because the mean of its divisors is an integer number (30753300783555).

Almost surely, 2^{61506601567109} is an apocalyptic number.

It is an amenable number.

61506601567109 is a deficient number, since it is larger than the sum of its proper divisors (1).

61506601567109 is an equidigital number, since it uses as much as digits as its factorization.

61506601567109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2041200, while the sum is 53.

The spelling of 61506601567109 in words is "sixty-one trillion, five hundred six billion, six hundred one million, five hundred sixty-seven thousand, one hundred nine".