51717960 has 128 divisors (see below), whose sum is σ = 197049600. Its totient is φ = 11819520.

The previous prime is 51717931. The next prime is 51717979. The reversal of 51717960 is 6971715.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4140 + ... + 10980.

It is an arithmetic number, because the mean of its divisors is an integer number (1539450).

Almost surely, 2^51717960 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 51717960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98524800).

51717960 is an abundant number, since it is smaller than the sum of its proper divisors (145331640).

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

51717960 is a wasteful number, since it uses less digits than its factorization.

51717960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 51717960 is about 7191.5200062296. The cubic root of 51717960 is about 372.5750730781.

It can be divided in two parts, 5171 and 7960, that added together give a palindrome (13131).

The spelling of 51717960 in words is "fifty-one million, seven hundred seventeen thousand, nine hundred sixty".