51957666 has 64 divisors (see below), whose sum is σ = 123120000. Its totient is φ = 16194816.

The previous prime is 51957623. The next prime is 51957691. The reversal of 51957666 is 66675915.

51957666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91030 + ... + 91598.

It is an arithmetic number, because the mean of its divisors is an integer number (1923750).

Almost surely, 2^51957666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51957666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61560000).

51957666 is an abundant number, since it is smaller than the sum of its proper divisors (71162334).

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

51957666 is a wasteful number, since it uses less digits than its factorization.

51957666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 682 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 51957666 is about 7208.1666184960. The cubic root of 51957666 is about 373.1497983569.

It can be divided in two parts, 519 and 57666, that added together give a palindrome (58185).

The spelling of 51957666 in words is "fifty-one million, nine hundred fifty-seven thousand, six hundred sixty-six".