51083970 has 192 divisors, whose sum is σ = 157593600. Its totient is φ = 10523520.

The previous prime is 51083941. The next prime is 51084053. The reversal of 51083970 is 7938015.

51083970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 865801 + ... + 865859.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 2^51083970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51083970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

51083970 is an abundant number, since it is smaller than the sum of its proper divisors (106509630).

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

51083970 is a wasteful number, since it uses less digits than its factorization.

51083970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 51083970 is about 7147.3050865344. The cubic root of 51083970 is about 371.0463926795.

The spelling of 51083970 in words is "fifty-one million, eighty-three thousand, nine hundred seventy".