2591130870601 has 105 divisors (see below), whose sum is σ = 3455261462391. Its totient is φ = 1942224180624.

The previous prime is 2591130870599. The next prime is 2591130870607. The reversal of 2591130870601 is 1060780311952.

The square root of 2591130870601 is 1609699.

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

It can be written as a sum of positive squares in only one way, i.e., 383303383225 + 2207827487376 = 619115^2 + 1485876^2 .

It is not a de Polignac number, because 2591130870601 - 2¹ = 2591130870599 is a prime.

It is a super-2 number, since 2×2591130870601² (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 (2591130870607) 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 104 ways as a sum of consecutive naturals, for example, 136375308970 + ... + 136375308988.

Almost surely, 2^{2591130870601} is an apocalyptic number.

2591130870601 is the 1609699-th square number.

2591130870601 is the 804850-th centered octagonal number.

It is an amenable number.

2591130870601 is a deficient number, since it is larger than the sum of its proper divisors (864130591790).

2591130870601 is an frugal number, since it uses more digits than its factorization.

2591130870601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 2591130870601 in words is "two trillion, five hundred ninety-one billion, one hundred thirty million, eight hundred seventy thousand, six hundred one".