51138560 has 104 divisors (see below), whose sum is σ = 134463456. Its totient is φ = 18513920.

The previous prime is 51138553. The next prime is 51138569. The reversal of 51138560 is 6583115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51138569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225167 + ... + 225393.

Almost surely, 2^51138560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67231728).

51138560 is an abundant number, since it is smaller than the sum of its proper divisors (83324896).

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

51138560 is a wasteful number, since it uses less digits than its factorization.

51138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 51138560 is about 7151.1229887340. The cubic root of 51138560 is about 371.1785163944.

The spelling of 51138560 in words is "fifty-one million, one hundred thirty-eight thousand, five hundred sixty".