51934146706225 has 81 divisors (see below), whose sum is σ = 75645976978467. Its totient is φ = 35266591503360.

The previous prime is 51934146706171. The next prime is 51934146706231. The reversal of 51934146706225 is 52260764143915.

The square root of 51934146706225 is 7206535.

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

It can be written as a sum of positive squares in 13 ways, for example, as 23775756329521 + 28158390376704 = 4876039^2 + 5306448^2 .

It is not a de Polignac number, because 51934146706225 - 2⁴⁵ = 16749774617393 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27492930081 + ... + 27492931969.

Almost surely, 2^{51934146706225} is an apocalyptic number.

51934146706225 is the 7206535-th square number.

51934146706225 is the 3603268-th centered octagonal number.

It is an amenable number.

51934146706225 is a deficient number, since it is larger than the sum of its proper divisors (23711830272242).

51934146706225 is an frugal number, since it uses more digits than its factorization.

51934146706225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 51934146706225 in words is "fifty-one trillion, nine hundred thirty-four billion, one hundred forty-six million, seven hundred six thousand, two hundred twenty-five".