51961400 has 48 divisors (see below), whose sum is σ = 122499600. Its totient is φ = 20494080.

The previous prime is 51961387. The next prime is 51961433. The reversal of 51961400 is 416915.

51961400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51961400.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 12821 + ... + 16379.

It is an arithmetic number, because the mean of its divisors is an integer number (2552075).

Almost surely, 2^51961400 is an apocalyptic number.

51961400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61249800).

51961400 is an abundant number, since it is smaller than the sum of its proper divisors (70538200).

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

51961400 is a wasteful number, since it uses less digits than its factorization.

51961400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 51961400 is about 7208.4256256134. The cubic root of 51961400 is about 373.1587370954.

The spelling of 51961400 in words is "fifty-one million, nine hundred sixty-one thousand, four hundred".