51966145 has 48 divisors (see below), whose sum is σ = 80687232. Its totient is φ = 31207680.

The previous prime is 51966143. The next prime is 51966149. The reversal of 51966145 is 54166915.

It is not a de Polignac number, because 51966145 - 2¹ = 51966143 is a prime.

It is a super-2 number, since 2×51966145² = 5400960452322050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51966143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711829 + ... + 711901.

It is an arithmetic number, because the mean of its divisors is an integer number (1680984).

Almost surely, 2^51966145 is an apocalyptic number.

51966145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51966145 is a deficient number, since it is larger than the sum of its proper divisors (28721087).

51966145 is a wasteful number, since it uses less digits than its factorization.

51966145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 139 counting only the distinct ones).

The product of its digits is 32400, while the sum is 37.

The square root of 51966145 is about 7208.7547468339. The cubic root of 51966145 is about 373.1700954262.

The spelling of 51966145 in words is "fifty-one million, nine hundred sixty-six thousand, one hundred forty-five".