51138177 has 24 divisors (see below), whose sum is σ = 75127104. Its totient is φ = 30878496.

The previous prime is 51138173. The next prime is 51138221. The reversal of 51138177 is 77183115.

It is not a de Polignac number, because 51138177 - 2² = 51138173 is a prime.

It is a super-2 number, since 2×51138177² = 5230226293766658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51138173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23883 + ... + 25935.

It is an arithmetic number, because the mean of its divisors is an integer number (3130296).

Almost surely, 2^51138177 is an apocalyptic number.

51138177 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

51138177 is a deficient number, since it is larger than the sum of its proper divisors (23988927).

51138177 is a wasteful number, since it uses less digits than its factorization.

51138177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2098 counting only the distinct ones).

The product of its digits is 5880, while the sum is 33.

The square root of 51138177 is about 7151.0962096730. The cubic root of 51138177 is about 371.1775897503.

It can be divided in two parts, 51138 and 177, that added together give a palindrome (51315).

The spelling of 51138177 in words is "fifty-one million, one hundred thirty-eight thousand, one hundred seventy-seven".