5261880866641 has 45 divisors (see below), whose sum is σ = 6299990591211. Its totient is φ = 4382006229216.

The previous prime is 5261880866639. The next prime is 5261880866651. The reversal of 5261880866641 is 1466680881625.

It is a happy number.

The square root of 5261880866641 is 2293879.

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., 2986899910225 + 2274980956416 = 1728265^2 + 1508304^2 .

It is not a de Polignac number, because 5261880866641 - 2¹ = 5261880866639 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5261880866641.

It is not an unprimeable number, because it can be changed into a prime (5261880866611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 72080559781 + ... + 72080559853.

Almost surely, 2^{5261880866641} is an apocalyptic number.

5261880866641 is the 2293879-th square number.

5261880866641 is the 1146940-th centered octagonal number.

It is an amenable number.

5261880866641 is a deficient number, since it is larger than the sum of its proper divisors (1038109724570).

5261880866641 is an frugal number, since it uses more digits than its factorization.

5261880866641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 61.

The spelling of 5261880866641 in words is "five trillion, two hundred sixty-one billion, eight hundred eighty million, eight hundred sixty-six thousand, six hundred forty-one".