51393312 has 96 divisors (see below), whose sum is σ = 158760000. Its totient is φ = 16118784.

The previous prime is 51393311. The next prime is 51393323. The reversal of 51393312 is 21339315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51393311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12939 + ... + 16437.

It is an arithmetic number, because the mean of its divisors is an integer number (1653750).

Almost surely, 2^51393312 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 51393312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380000).

51393312 is an abundant number, since it is smaller than the sum of its proper divisors (107366688).

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

51393312 is a wasteful number, since it uses less digits than its factorization.

51393312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3521 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 51393312 is about 7168.9128882976. The cubic root of 51393312 is about 371.7938504003.

The spelling of 51393312 in words is "fifty-one million, three hundred ninety-three thousand, three hundred twelve".