51967656 has 160 divisors (see below), whose sum is σ = 162624000. Its totient is φ = 15396480.

The previous prime is 51967651. The next prime is 51967661. The reversal of 51967656 is 65676915.

51967656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51967651) and next prime (51967661).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (51967651) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 261045 + ... + 261243.

It is an arithmetic number, because the mean of its divisors is an integer number (1016400).

Almost surely, 2^51967656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51967656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81312000).

51967656 is an abundant number, since it is smaller than the sum of its proper divisors (110656344).

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

51967656 is a wasteful number, since it uses less digits than its factorization.

51967656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

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

The square root of 51967656 is about 7208.8595491936. The cubic root of 51967656 is about 373.1737122332.

The spelling of 51967656 in words is "fifty-one million, nine hundred sixty-seven thousand, six hundred fifty-six".