51001146 has 48 divisors (see below), whose sum is σ = 128089728. Its totient is φ = 14364000.

The previous prime is 51001141. The next prime is 51001151. The reversal of 51001146 is 64110015.

51001146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51001141) and next prime (51001151).

It is a super-2 number, since 2×51001146² = 5202233786626632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51001141) 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 23 ways as a sum of consecutive naturals, for example, 6096 + ... + 11796.

It is an arithmetic number, because the mean of its divisors is an integer number (2668536).

Almost surely, 2^51001146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51001146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64044864).

51001146 is an abundant number, since it is smaller than the sum of its proper divisors (77088582).

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

51001146 is a wasteful number, since it uses less digits than its factorization.

51001146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 51001146 is about 7141.5086641409. The cubic root of 51001146 is about 370.8457545924.

The spelling of 51001146 in words is "fifty-one million, one thousand, one hundred forty-six".