51126600 has 288 divisors, whose sum is σ = 193380480. Its totient is φ = 11128320.

The previous prime is 51126577. The next prime is 51126611. The reversal of 51126600 is 662115.

It is a happy number.

It is a super-2 number, since 2×51126600² = 5227858455120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1087777 + ... + 1087823.

It is an arithmetic number, because the mean of its divisors is an integer number (671460).

Almost surely, 2^51126600 is an apocalyptic number.

51126600 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 51126600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96690240).

51126600 is an abundant number, since it is smaller than the sum of its proper divisors (142253880).

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

51126600 is a wasteful number, since it uses less digits than its factorization.

51126600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 51126600 is about 7150.2867075384. The cubic root of 51126600 is about 371.1495777541.

Adding to 51126600 its reverse (662115), we get a palindrome (51788715).

The spelling of 51126600 in words is "fifty-one million, one hundred twenty-six thousand, six hundred".