51011400 has 192 divisors, whose sum is σ = 176774400. Its totient is φ = 12064000.

The previous prime is 51011383. The next prime is 51011413. The reversal of 51011400 is 411015.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 389335 + ... + 389465.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 2^51011400 is an apocalyptic number.

51011400 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 51011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

51011400 is an abundant number, since it is smaller than the sum of its proper divisors (125763000).

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

51011400 is a wasteful number, since it uses less digits than its factorization.

51011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 51011400 is about 7142.2265435927. The cubic root of 51011400 is about 370.8706063056.

Adding to 51011400 its reverse (411015), we get a palindrome (51422415).

The spelling of 51011400 in words is "fifty-one million, eleven thousand, four hundred".