2603217675601 has 9 divisors (see below), whose sum is σ = 2622580648849. Its totient is φ = 2583996657664.

The previous prime is 2603217675589. The next prime is 2603217675637. The reversal of 2603217675601 is 1065767123062.

The square root of 2603217675601 is 1613449.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 218416957201 + 2384800718400 = 467351^2 + 1544280^2 .

It is not a de Polignac number, because 2603217675601 - 2⁷ = 2603217675473 is a prime.

It is a super-2 number, since 2×2603217675601² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2603217675671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 221036625 + ... + 221048401.

Almost surely, 2^{2603217675601} is an apocalyptic number.

2603217675601 is the 1613449-th square number.

2603217675601 is the 806725-th centered octagonal number.

It is an amenable number.

2603217675601 is a deficient number, since it is larger than the sum of its proper divisors (19362973248).

2603217675601 is an frugal number, since it uses more digits than its factorization.

2603217675601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23828 (or 11914 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 2603217675601 in words is "two trillion, six hundred three billion, two hundred seventeen million, six hundred seventy-five thousand, six hundred one".