67105580561 has 2 divisors, whose sum is σ = 67105580562. Its totient is φ = 67105580560.

The previous prime is 67105580501. The next prime is 67105580587. The reversal of 67105580561 is 16508550176.

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., 39093198400 + 28012382161 = 197720^2 + 167369^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67105580561 is a prime.

It is a super-2 number, since 2×67105580561² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (67105580501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33552790280 + 33552790281.

It is an arithmetic number, because the mean of its divisors is an integer number (33552790281).

Almost surely, 2^67105580561 is an apocalyptic number.

It is an amenable number.

67105580561 is a deficient number, since it is larger than the sum of its proper divisors (1).

67105580561 is an equidigital number, since it uses as much as digits as its factorization.

67105580561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252000, while the sum is 44.

The spelling of 67105580561 in words is "sixty-seven billion, one hundred five million, five hundred eighty thousand, five hundred sixty-one".