51413688 has 48 divisors (see below), whose sum is σ = 140197200. Its totient is φ = 17020800.

The previous prime is 51413653. The next prime is 51413689. The reversal of 51413688 is 88631415.

51413688 is a `hidden beast` number, since 514 + 136 + 8 + 8 = 666.

It is a super-2 number, since 2×51413688² = 5286734627522688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51413689) 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, 8508 + ... + 13236.

It is an arithmetic number, because the mean of its divisors is an integer number (2920775).

Almost surely, 2^51413688 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 51413688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70098600).

51413688 is an abundant number, since it is smaller than the sum of its proper divisors (88783512).

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

51413688 is a wasteful number, since it uses less digits than its factorization.

51413688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 4885 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 51413688 is about 7170.3338834395. Note that the first 3 decimals coincide. The cubic root of 51413688 is about 371.8429791698.

The spelling of 51413688 in words is "fifty-one million, four hundred thirteen thousand, six hundred eighty-eight".