51608583000 has 1152 divisors, whose sum is σ = 213141015360. Its totient is φ = 11570688000.

The previous prime is 51608582989. The next prime is 51608583041. The reversal of 51608583000 is 38580615.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1664792985 + ... + 1664793015.

Almost surely, 2^51608583000 is an apocalyptic number.

51608583000 is a gapful number since it is divisible by the number (50) 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 51608583000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106570507680).

51608583000 is an abundant number, since it is smaller than the sum of its proper divisors (161532432360).

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

51608583000 is a wasteful number, since it uses less digits than its factorization.

51608583000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 51608583000 in words is "fifty-one billion, six hundred eight million, five hundred eighty-three thousand".