61409567249 has 2 divisors, whose sum is σ = 61409567250. Its totient is φ = 61409567248.

The previous prime is 61409567231. The next prime is 61409567309. The reversal of 61409567249 is 94276590416.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39898065025 + 21511502224 = 199745^2 + 146668^2 .

It is a cyclic number.

It is not a de Polignac number, because 61409567249 - 2²⁰ = 61408518673 is a prime.

It is a super-2 number, since 2×61409567249² (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61409567249.

It is not a weakly prime, because it can be changed into another prime (61409567749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30704783624 + 30704783625.

It is an arithmetic number, because the mean of its divisors is an integer number (30704783625).

Almost surely, 2^61409567249 is an apocalyptic number.

It is an amenable number.

61409567249 is a deficient number, since it is larger than the sum of its proper divisors (1).

61409567249 is an equidigital number, since it uses as much as digits as its factorization.

61409567249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 61409567249 in words is "sixty-one billion, four hundred nine million, five hundred sixty-seven thousand, two hundred forty-nine".