51688512 has 84 divisors (see below), whose sum is σ = 155986480. Its totient is φ = 16319232.

The previous prime is 51688471. The next prime is 51688513. The reversal of 51688512 is 21588615.

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

It is not an unprimeable number, because it can be changed into a prime (51688513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8583 + ... + 13305.

Almost surely, 2^51688512 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 51688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77993240).

51688512 is an abundant number, since it is smaller than the sum of its proper divisors (104297968).

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

51688512 is a wasteful number, since it uses less digits than its factorization.

51688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4747 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 51688512 is about 7189.4723033057. The cubic root of 51688512 is about 372.5043453992.

The spelling of 51688512 in words is "fifty-one million, six hundred eighty-eight thousand, five hundred twelve".