51516432 has 160 divisors (see below), whose sum is σ = 166239360. Its totient is φ = 15137280.

The previous prime is 51516431. The next prime is 51516433. The reversal of 51516432 is 23461515.

51516432 is a `hidden beast` number, since 5 + 15 + 1 + 643 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (51516431) and next prime (51516433).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 51516396 and 51516405.

It is not an unprimeable number, because it can be changed into a prime (51516431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175678 + ... + 175970.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 2^51516432 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 51516432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83119680).

51516432 is an abundant number, since it is smaller than the sum of its proper divisors (114722928).

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

51516432 is a wasteful number, since it uses less digits than its factorization.

51516432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 51516432 is about 7177.4948275843. The cubic root of 51516432 is about 372.0905086744.

Adding to 51516432 its reverse (23461515), we get a palindrome (74977947).

The spelling of 51516432 in words is "fifty-one million, five hundred sixteen thousand, four hundred thirty-two".