51263752225 has 27 divisors (see below), whose sum is σ = 73956779577. Its totient is φ = 35146853280.

The previous prime is 51263752223. The next prime is 51263752259. The reversal of 51263752225 is 52225736215.

The square root of 51263752225 is 226415.

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 21185093601 + 30078658624 = 145551^2 + 173432^2 .

It is not a de Polignac number, because 51263752225 - 2¹ = 51263752223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51263752223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7921291 + ... + 7927759.

Almost surely, 2^51263752225 is an apocalyptic number.

51263752225 is the 226415-th square number.

51263752225 is the 113208-th centered octagonal number.

It is an amenable number.

51263752225 is a deficient number, since it is larger than the sum of its proper divisors (22693027352).

51263752225 is an frugal number, since it uses more digits than its factorization.

51263752225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12962 (or 6481 counting only the distinct ones).

The product of its digits is 252000, while the sum is 40.

The spelling of 51263752225 in words is "fifty-one billion, two hundred sixty-three million, seven hundred fifty-two thousand, two hundred twenty-five".