51199248283225 has 27 divisors (see below), whose sum is σ = 73852664687487. Its totient is φ = 35107884236880.

The previous prime is 51199248283223. The next prime is 51199248283243. The reversal of 51199248283225 is 52238284299115.

It is a happy number.

The square root of 51199248283225 is 7155365.

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

It can be written as a sum of positive squares in only one way, i.e., 18431729381961 + 32767518901264 = 4293219^2 + 5724292^2 .

It is not a de Polignac number, because 51199248283225 - 2¹ = 51199248283223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51199248283223) 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, 250335556 + ... + 250539994.

Almost surely, 2^{51199248283225} is an apocalyptic number.

51199248283225 is the 7155365-th square number.

51199248283225 is the 3577683-rd centered octagonal number.

It is an amenable number.

51199248283225 is a deficient number, since it is larger than the sum of its proper divisors (22653416404262).

51199248283225 is an frugal number, since it uses more digits than its factorization.

51199248283225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408902 (or 204451 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 61.

The spelling of 51199248283225 in words is "fifty-one trillion, one hundred ninety-nine billion, two hundred forty-eight million, two hundred eighty-three thousand, two hundred twenty-five".