51000600 has 96 divisors (see below), whose sum is σ = 180702720. Its totient is φ = 11656320.

The previous prime is 51000571. The next prime is 51000619. The reversal of 51000600 is 600015.

It is a super-2 number, since 2×51000600² = 5202122400720000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1872 + ... + 10271.

It is an arithmetic number, because the mean of its divisors is an integer number (1882320).

Almost surely, 2^51000600 is an apocalyptic number.

51000600 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 51000600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90351360).

51000600 is an abundant number, since it is smaller than the sum of its proper divisors (129702120).

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

51000600 is a wasteful number, since it uses less digits than its factorization.

51000600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12169 (or 12160 counting only the distinct ones).

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

The square root of 51000600 is about 7141.4704368218. The cubic root of 51000600 is about 370.8444312071.

Adding to 51000600 its reverse (600015), we get a palindrome (51600615).

The spelling of 51000600 in words is "fifty-one million, six hundred", and thus it is an aban number.