2605601516601 has 16 divisors (see below), whose sum is σ = 3588152857344. Its totient is φ = 1680814010064.

The previous prime is 2605601516543. The next prime is 2605601516629. The reversal of 2605601516601 is 1066151065062.

It is not a de Polignac number, because 2605601516601 - 2¹⁰ = 2605601515577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2605601516601.

It is not an unprimeable number, because it can be changed into a prime (2605601516671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94371531 + ... + 94399136.

It is an arithmetic number, because the mean of its divisors is an integer number (224259553584).

Almost surely, 2^{2605601516601} is an apocalyptic number.

It is an amenable number.

2605601516601 is a deficient number, since it is larger than the sum of its proper divisors (982551340743).

2605601516601 is a wasteful number, since it uses less digits than its factorization.

2605601516601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188770820.

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 2605601516601 in words is "two trillion, six hundred five billion, six hundred one million, five hundred sixteen thousand, six hundred one".