51127000 has 128 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 18816000.

The previous prime is 51126997. The next prime is 51127001. The reversal of 51127000 is 72115.

It is a super-3 number, since 3×51127000³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51127001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188979 + ... + 1189021.

Almost surely, 2^51127000 is an apocalyptic number.

51127000 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 51127000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

51127000 is an abundant number, since it is smaller than the sum of its proper divisors (78602600).

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

51127000 is a wasteful number, since it uses less digits than its factorization.

51127000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 51127000 is about 7150.3146783900. The cubic root of 51127000 is about 371.1505456745.

Adding to 51127000 its reverse (72115), we get a palindrome (51199115).

The spelling of 51127000 in words is "fifty-one million, one hundred twenty-seven thousand".