51045360 has 80 divisors (see below), whose sum is σ = 161266464. Its totient is φ = 13351936.

The previous prime is 51045353. The next prime is 51045367. The reversal of 51045360 is 6354015.

51045360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51045353) and next prime (51045367).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 51045360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51045367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10714 + ... + 14726.

Almost surely, 2^51045360 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 51045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80633232).

51045360 is an abundant number, since it is smaller than the sum of its proper divisors (110221104).

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

51045360 is a wasteful number, since it uses less digits than its factorization.

51045360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 51045360 is about 7144.6035579310. The cubic root of 51045360 is about 370.9528883831.

Adding to 51045360 its reverse (6354015), we get a palindrome (57399375).

The spelling of 51045360 in words is "fifty-one million, forty-five thousand, three hundred sixty".