51617020 has 96 divisors (see below), whose sum is σ = 135475200. Its totient is φ = 16084224.

The previous prime is 51617017. The next prime is 51617021. The reversal of 51617020 is 2071615.

It is a junction number, because it is equal to n+sod(n) for n = 51616982 and 51617000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51617021) 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, 143601 + ... + 143959.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^51617020 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 51617020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

51617020 is an abundant number, since it is smaller than the sum of its proper divisors (83858180).

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

51617020 is a wasteful number, since it uses less digits than its factorization.

51617020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 51617020 is about 7184.4985907160. The cubic root of 51617020 is about 372.3325253489.

Adding to 51617020 its reverse (2071615), we get a palindrome (53688635).

The spelling of 51617020 in words is "fifty-one million, six hundred seventeen thousand, twenty".