51735320 has 128 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 16035840.

The previous prime is 51735293. The next prime is 51735329. The reversal of 51735320 is 2353715.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 51735320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51735329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221924 + ... + 222156.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 2^51735320 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 51735320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

51735320 is an abundant number, since it is smaller than the sum of its proper divisors (94505320).

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

51735320 is a wasteful number, since it uses less digits than its factorization.

51735320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 51735320 is about 7192.7268820664. The cubic root of 51735320 is about 372.6167554370.

The spelling of 51735320 in words is "fifty-one million, seven hundred thirty-five thousand, three hundred twenty".