51319400 has 48 divisors (see below), whose sum is σ = 130170240. Its totient is φ = 18660800.

The previous prime is 51319397. The next prime is 51319421. The reversal of 51319400 is 491315.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9464 + ... + 13863.

It is an arithmetic number, because the mean of its divisors is an integer number (2711880).

Almost surely, 2^51319400 is an apocalyptic number.

51319400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51319400 is an abundant number, since it is smaller than the sum of its proper divisors (78850840).

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

51319400 is a wasteful number, since it uses less digits than its factorization.

51319400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23354 (or 23345 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 51319400 is about 7163.7559980781. The cubic root of 51319400 is about 371.6155314055.

The spelling of 51319400 in words is "fifty-one million, three hundred nineteen thousand, four hundred".