3002590306961 has 16 divisors (see below), whose sum is σ = 3642726971520. Its totient is φ = 2416030805760.

The previous prime is 3002590306931. The next prime is 3002590306987. The reversal of 3002590306961 is 1696030952003.

It is a cyclic number.

It is not a de Polignac number, because 3002590306961 - 2⁶ = 3002590306897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3002590306901) 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, 32385395 + ... + 32477976.

It is an arithmetic number, because the mean of its divisors is an integer number (227670435720).

Almost surely, 2^{3002590306961} is an apocalyptic number.

It is an amenable number.

3002590306961 is a deficient number, since it is larger than the sum of its proper divisors (640136664559).

3002590306961 is a wasteful number, since it uses less digits than its factorization.

3002590306961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64863784.

The product of its (nonzero) digits is 262440, while the sum is 44.

The spelling of 3002590306961 in words is "three trillion, two billion, five hundred ninety million, three hundred six thousand, nine hundred sixty-one".