51217824 has 96 divisors (see below), whose sum is σ = 154828800. Its totient is φ = 14522112.

The previous prime is 51217813. The next prime is 51217847. The reversal of 51217824 is 42871215.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 51217791 and 51217800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133537 + ... + 133919.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 2^51217824 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 51217824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

51217824 is an abundant number, since it is smaller than the sum of its proper divisors (103610976).

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

51217824 is a wasteful number, since it uses less digits than its factorization.

51217824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 594 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 51217824 is about 7156.6629094851. The cubic root of 51217824 is about 371.3701911062.

It can be divided in two parts, 512 and 17824, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 51217824 in words is "fifty-one million, two hundred seventeen thousand, eight hundred twenty-four".