51045760 has 64 divisors (see below), whose sum is σ = 124701120. Its totient is φ = 19972096.

The previous prime is 51045739. The next prime is 51045767. The reversal of 51045760 is 6754015.

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

It is a super-2 number, since 2×51045760² = 5211339227955200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51045767) 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, 29232 + ... + 30928.

It is an arithmetic number, because the mean of its divisors is an integer number (1948455).

Almost surely, 2^51045760 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 51045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62350560).

51045760 is an abundant number, since it is smaller than the sum of its proper divisors (73655360).

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

51045760 is a wasteful number, since it uses less digits than its factorization.

51045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 51045760 is about 7144.6315510319. The cubic root of 51045760 is about 370.9538573302.

Adding to 51045760 its reverse (6754015), we get a palindrome (57799775).

The spelling of 51045760 in words is "fifty-one million, forty-five thousand, seven hundred sixty".