781058250625 has 135 divisors (see below), whose sum is σ = 1076999912989. Its totient is φ = 566181616000.

The previous prime is 781058250619. The next prime is 781058250647. The reversal of 781058250625 is 526052850187.

The square root of 781058250625 is 883775.

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

It can be written as a sum of positive squares in 22 ways, for example, as 780326656321 + 731594304 = 883361^2 + 27048^2 .

It is not a de Polignac number, because 781058250625 - 2³ = 781058250617 is a prime.

It is a super-2 number, since 2×781058250625² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 14736948099 + ... + 14736948151.

Almost surely, 2^781058250625 is an apocalyptic number.

781058250625 is the 883775-th square number.

781058250625 is the 441888-th centered octagonal number.

It is an amenable number.

781058250625 is a deficient number, since it is larger than the sum of its proper divisors (295941662364).

781058250625 is an frugal number, since it uses more digits than its factorization.

781058250625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 49.

Multiplying 781058250625 by its sum of digits (49), we get a square (38271854280625 = 6186425²).

The spelling of 781058250625 in words is "seven hundred eighty-one billion, fifty-eight million, two hundred fifty thousand, six hundred twenty-five".