51115456 has 56 divisors (see below), whose sum is σ = 117628416. Its totient is φ = 21584640.

The previous prime is 51115423. The next prime is 51115457. The reversal of 51115456 is 65451115.

It is a happy number.

51115456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×51115456² = 5225579684175872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51115457) 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 7 ways as a sum of consecutive naturals, for example, 31005 + ... + 32611.

Almost surely, 2^51115456 is an apocalyptic number.

51115456 is a gapful number since it is divisible by the number (56) 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 51115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58814208).

51115456 is an abundant number, since it is smaller than the sum of its proper divisors (66512960).

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

51115456 is a wasteful number, since it uses less digits than its factorization.

51115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1687 counting only the distinct ones).

The product of its digits is 3000, while the sum is 28.

The square root of 51115456 is about 7149.5073956182. The cubic root of 51115456 is about 371.1226094607.

The spelling of 51115456 in words is "fifty-one million, one hundred fifteen thousand, four hundred fifty-six".