51375360 has 144 divisors (see below), whose sum is σ = 173952576. Its totient is φ = 12877824.

The previous prime is 51375347. The next prime is 51375361. The reversal of 51375360 is 6357315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51375361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64887 + ... + 65673.

It is an arithmetic number, because the mean of its divisors is an integer number (1208004).

Almost surely, 2^51375360 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 51375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86976288).

51375360 is an abundant number, since it is smaller than the sum of its proper divisors (122577216).

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

51375360 is a wasteful number, since it uses less digits than its factorization.

51375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 51375360 is about 7167.6607062556. The cubic root of 51375360 is about 371.7505553992.

It can be divided in two parts, 51 and 375360, that added together give a triangular number (375411 = T₈₆₆).

The spelling of 51375360 in words is "fifty-one million, three hundred seventy-five thousand, three hundred sixty".