51093120 has 256 divisors, whose sum is σ = 185068800. Its totient is φ = 11894784.

The previous prime is 51093059. The next prime is 51093121. The reversal of 51093120 is 2139015.

It is a super-2 number, since 2×51093120² = 5221013822668800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51093121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 574036 + ... + 574124.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 2^51093120 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 51093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

51093120 is an abundant number, since it is smaller than the sum of its proper divisors (133975680).

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

51093120 is a wasteful number, since it uses less digits than its factorization.

51093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 51093120 is about 7147.9451592748. The cubic root of 51093120 is about 371.0685449112.

The spelling of 51093120 in words is "fifty-one million, ninety-three thousand, one hundred twenty".