51134080 has 64 divisors (see below), whose sum is σ = 123532200. Its totient is φ = 20238336.

The previous prime is 51134077. The next prime is 51134081. The reversal of 51134080 is 8043115.

It can be written as a sum of positive squares in 4 ways, for example, as 51036736 + 97344 = 7144^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×51134080² = 5229388274892800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51134081) 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, 69394 + ... + 70126.

Almost surely, 2^51134080 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 51134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61766100).

51134080 is an abundant number, since it is smaller than the sum of its proper divisors (72398120).

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

51134080 is a wasteful number, since it uses less digits than its factorization.

51134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 51134080 is about 7150.8097443576. The cubic root of 51134080 is about 371.1676770309.

Adding to 51134080 its reverse (8043115), we get a palindrome (59177195).

The spelling of 51134080 in words is "fifty-one million, one hundred thirty-four thousand, eighty".