851292249025 has 27 divisors (see below), whose sum is σ = 1064712434121. Its totient is φ = 675206310240.

The previous prime is 851292249019. The next prime is 851292249079. The reversal of 851292249025 is 520942292158.

The square root of 851292249025 is 922655.

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 185684289921 + 665607959104 = 430911^2 + 815848^2 .

It is not a de Polignac number, because 851292249025 - 2⁵ = 851292248993 is a prime.

It is a super-2 number, since 2×851292249025² (a number of 25 digits) contains 22 as substring.

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 851292249025.

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, 585885199 + ... + 585886651.

Almost surely, 2^851292249025 is an apocalyptic number.

851292249025 is the 922655-th square number.

851292249025 is the 461328-th centered octagonal number.

It is an amenable number.

851292249025 is a deficient number, since it is larger than the sum of its proper divisors (213420185096).

851292249025 is an frugal number, since it uses more digits than its factorization.

851292249025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

Multiplying 851292249025 by its sum of digits (49), we get a square (41713320202225 = 6458585²).

The spelling of 851292249025 in words is "eight hundred fifty-one billion, two hundred ninety-two million, two hundred forty-nine thousand, twenty-five".