5151005605601 has 8 divisors (see below), whose sum is σ = 5211148084200. Its totient is φ = 5091042390400.

The previous prime is 5151005605573. The next prime is 5151005605621. The reversal of 5151005605601 is 1065065001515.

It can be written as a sum of positive squares in 4 ways, for example, as 527112300625 + 4623893304976 = 726025^2 + 2150324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5151005605601 - 2³⁸ = 4876127698657 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5151005605621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44758046 + ... + 44872983.

It is an arithmetic number, because the mean of its divisors is an integer number (651393510525).

Almost surely, 2^{5151005605601} is an apocalyptic number.

It is an amenable number.

5151005605601 is a deficient number, since it is larger than the sum of its proper divisors (60142478599).

5151005605601 is a wasteful number, since it uses less digits than its factorization.

5151005605601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89631699.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 5151005605601 in words is "five trillion, one hundred fifty-one billion, five million, six hundred five thousand, six hundred one".