2580903297361 has 9 divisors (see below), whose sum is σ = 2590214312539. Its totient is φ = 2571625650136.

The previous prime is 2580903297359. The next prime is 2580903297373. The reversal of 2580903297361 is 1637923090852.

The square root of 2580903297361 is 1606519.

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., 2441890649025 + 139012648336 = 1562655^2 + 372844^2 .

It is not a de Polignac number, because 2580903297361 - 2¹ = 2580903297359 is a prime.

It is a super-2 number, since 2×2580903297361² (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 (2580903297961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 470707326 + ... + 470712808.

Almost surely, 2^{2580903297361} is an apocalyptic number.

2580903297361 is the 1606519-th square number.

2580903297361 is the 803260-th centered octagonal number.

It is an amenable number.

2580903297361 is a deficient number, since it is larger than the sum of its proper divisors (9311015178).

2580903297361 is an frugal number, since it uses more digits than its factorization.

2580903297361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11552 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 2580903297361 in words is "two trillion, five hundred eighty billion, nine hundred three million, two hundred ninety-seven thousand, three hundred sixty-one".