61344534097 has 16 divisors (see below), whose sum is σ = 78548568192. Its totient is φ = 46509016320.

The previous prime is 61344533963. The next prime is 61344534101. The reversal of 61344534097 is 79043544316.

It is a cyclic number.

It is not a de Polignac number, because 61344534097 - 2¹⁹ = 61344009809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61344531097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10763128 + ... + 10768825.

It is an arithmetic number, because the mean of its divisors is an integer number (4909285512).

Almost surely, 2^61344534097 is an apocalyptic number.

It is an amenable number.

61344534097 is a deficient number, since it is larger than the sum of its proper divisors (17204034095).

61344534097 is a wasteful number, since it uses less digits than its factorization.

61344534097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21532008.

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 61344534097 in words is "sixty-one billion, three hundred forty-four million, five hundred thirty-four thousand, ninety-seven".