51114000 has 160 divisors (see below), whose sum is σ = 188487936. Its totient is φ = 11673600.

The previous prime is 51113989. The next prime is 51114023. The reversal of 51114000 is 41115.

It is a happy number.

It is a super-2 number, since 2×51114000² = 5225281992000000, 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 31 ways as a sum of consecutive naturals, for example, 41392 + ... + 42608.

Almost surely, 2^51114000 is an apocalyptic number.

51114000 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 51114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94243968).

51114000 is an abundant number, since it is smaller than the sum of its proper divisors (137373936).

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

51114000 is a wasteful number, since it uses less digits than its factorization.

51114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1234 counting only the distinct ones).

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

The square root of 51114000 is about 7149.4055696960. The cubic root of 51114000 is about 371.1190856756.

Adding to 51114000 its reverse (41115), we get a palindrome (51155115).

The spelling of 51114000 in words is "fifty-one million, one hundred fourteen thousand".