51409975505625 has 225 divisors, whose sum is σ = 105520046331931. Its totient is φ = 24917444640000.

The previous prime is 51409975505611. The next prime is 51409975505663. The reversal of 51409975505625 is 52650557990415.

The square root of 51409975505625 is 7170075.

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

51409975505625 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 9 + 9 + 7 + 550 + 56 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 51228417704409 + 181557801216 = 7157403^2 + 426096^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 51409975505625 - 2¹⁷ = 51409975374553 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 17745934177 + ... + 17745937073.

Almost surely, 2^{51409975505625} is an apocalyptic number.

51409975505625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51409975505625 is the 7170075-th square number.

51409975505625 is the 3585038-th centered octagonal number.

It is an amenable number.

51409975505625 is an abundant number, since it is smaller than the sum of its proper divisors (54110070826306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51409975505625 is an frugal number, since it uses more digits than its factorization.

51409975505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 85050000, while the sum is 63.

The spelling of 51409975505625 in words is "fifty-one trillion, four hundred nine billion, nine hundred seventy-five million, five hundred five thousand, six hundred twenty-five".