51006000 has 80 divisors (see below), whose sum is σ = 164462688. Its totient is φ = 13600000.

The previous prime is 51005993. The next prime is 51006023. The reversal of 51006000 is 60015.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×51006000² = 5203224072000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1750 + ... + 10250.

Almost surely, 2^51006000 is an apocalyptic number.

51006000 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 51006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82231344).

51006000 is an abundant number, since it is smaller than the sum of its proper divisors (113456688).

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

51006000 is a wasteful number, since it uses less digits than its factorization.

51006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8527 (or 8511 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 51006000 is about 7141.8485002134. The cubic root of 51006000 is about 370.8575192182.

Adding to 51006000 its reverse (60015), we get a palindrome (51066015).

The spelling of 51006000 in words is "fifty-one million, six thousand".