2761828515625 has 27 divisors (see below), whose sum is σ = 3453582704421. Its totient is φ = 2208631875000.

The previous prime is 2761828515619. The next prime is 2761828515679. The reversal of 2761828515625 is 5265158281672.

It is a happy number.

The square root of 2761828515625 is 1661875.

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

2761828515625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1963622071849 + 798206443776 = 1401293^2 + 893424^2 .

It is not a de Polignac number, because 2761828515625 - 2²¹ = 2761826418473 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 2761828515625.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1038670546 + ... + 1038673204.

Almost surely, 2^{2761828515625} is an apocalyptic number.

2761828515625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2761828515625 is the 1661875-th square number.

2761828515625 is the 830938-th centered octagonal number.

It is an amenable number.

2761828515625 is a deficient number, since it is larger than the sum of its proper divisors (691754188796).

2761828515625 is an frugal number, since it uses more digits than its factorization.

2761828515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 2664 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 58.

The spelling of 2761828515625 in words is "two trillion, seven hundred sixty-one billion, eight hundred twenty-eight million, five hundred fifteen thousand, six hundred twenty-five".