6097778961 has 16 divisors (see below), whose sum is σ = 8221739328. Its totient is φ = 4019724800.

The previous prime is 6097778941. The next prime is 6097779001. The reversal of 6097778961 is 1698777906.

It is a happy number.

6097778961 is a nontrivial binomial coefficient, being equal to C(110434, 2).

It is a 3-Lehmer number, since φ(6097778961) divides (6097778961-1)³.

It is a cyclic number.

It is a Carmichael number.

It is a de Polignac number, because none of the positive numbers 2^k-6097778961 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6097778895 and 6097778904.

It is not an unprimeable number, because it can be changed into a prime (6097778941) 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, 82825 + ... + 138041.

It is an arithmetic number, because the mean of its divisors is an integer number (513858708).

It is a Poulet number, since it divides 2^6097778960-1.

Almost surely, 2^6097778961 is an apocalyptic number.

6097778961 is the 110433-rd triangular number and also the 55217-th hexagonal number.

It is an amenable number.

6097778961 is a deficient number, since it is larger than the sum of its proper divisors (2123960367).

6097778961 is a wasteful number, since it uses less digits than its factorization.

6097778961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55632.

The product of its (nonzero) digits is 8001504, while the sum is 60.

The square root of 6097778961 is about 78088.2767193642. The cubic root of 6097778961 is about 1826.9383507128.

The spelling of 6097778961 in words is "six billion, ninety-seven million, seven hundred seventy-eight thousand, nine hundred sixty-one".