51961952 has 72 divisors (see below), whose sum is σ = 122955840. Its totient is φ = 21530880.

The previous prime is 51961951. The next prime is 51961961. The reversal of 51961952 is 25916915.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51961951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48074 + ... + 49142.

It is an arithmetic number, because the mean of its divisors is an integer number (1707720).

Almost surely, 2^51961952 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 51961952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61477920).

51961952 is an abundant number, since it is smaller than the sum of its proper divisors (70993888).

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

51961952 is a wasteful number, since it uses less digits than its factorization.

51961952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1109 counting only the distinct ones).

The product of its digits is 24300, while the sum is 38.

The square root of 51961952 is about 7208.4639140388. The cubic root of 51961952 is about 373.1600584794.

The spelling of 51961952 in words is "fifty-one million, nine hundred sixty-one thousand, nine hundred fifty-two".