51672109225 has 27 divisors (see below), whose sum is σ = 70444848229. Its totient is φ = 37570623200.

The previous prime is 51672109219. The next prime is 51672109231. The reversal of 51672109225 is 52290127615.

It is a happy number.

The square root of 51672109225 is 227315.

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

It is an interprime number because it is at equal distance from previous prime (51672109219) and next prime (51672109231).

It can be written as a sum of positive squares in 4 ways, for example, as 603340969 + 51068768256 = 24563^2 + 225984^2 .

It is not a de Polignac number, because 51672109225 - 2³ = 51672109217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12500259 + ... + 12504391.

Almost surely, 2^51672109225 is an apocalyptic number.

51672109225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51672109225 is the 227315-th square number.

51672109225 is the 113658-th centered octagonal number.

It is an amenable number.

51672109225 is a deficient number, since it is larger than the sum of its proper divisors (18772739004).

51672109225 is an frugal number, since it uses more digits than its factorization.

51672109225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 51672109225 in words is "fifty-one billion, six hundred seventy-two million, one hundred nine thousand, two hundred twenty-five".