2562787958641 has 27 divisors (see below), whose sum is σ = 2677626566433. Its totient is φ = 2452790511360.

The previous prime is 2562787958623. The next prime is 2562787958693. The reversal of 2562787958641 is 1468597872652.

The square root of 2562787958641 is 1600871.

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 148742120241 + 2414045838400 = 385671^2 + 1553720^2 .

It is not a de Polignac number, because 2562787958641 - 2¹¹ = 2562787956593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2562787953641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5607850885 + ... + 5607851341.

Almost surely, 2^{2562787958641} is an apocalyptic number.

2562787958641 is the 1600871-st square number.

2562787958641 is the 800436-th centered octagonal number.

It is an amenable number.

2562787958641 is a deficient number, since it is larger than the sum of its proper divisors (114838607792).

2562787958641 is an frugal number, since it uses more digits than its factorization.

2562787958641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 601 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 70.

The spelling of 2562787958641 in words is "two trillion, five hundred sixty-two billion, seven hundred eighty-seven million, nine hundred fifty-eight thousand, six hundred forty-one".