51905324566225 has 81 divisors (see below), whose sum is σ = 70123990912659. Its totient is φ = 38095275628800.

The previous prime is 51905324566213. The next prime is 51905324566247. The reversal of 51905324566225 is 52266542350915.

It is a happy number.

The square root of 51905324566225 is 7204535.

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 28279347815889 + 23625976750336 = 5317833^2 + 4860656^2 .

It is not a de Polignac number, because 51905324566225 - 2¹⁹ = 51905324041937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 126907883821 + ... + 126907884229.

Almost surely, 2^{51905324566225} is an apocalyptic number.

51905324566225 is the 7204535-th square number.

51905324566225 is the 3602268-th centered octagonal number.

It is an amenable number.

51905324566225 is a deficient number, since it is larger than the sum of its proper divisors (18218666346434).

51905324566225 is an frugal number, since it uses more digits than its factorization.

51905324566225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 55.

The spelling of 51905324566225 in words is "fifty-one trillion, nine hundred five billion, three hundred twenty-four million, five hundred sixty-six thousand, two hundred twenty-five".