51434064 has 120 divisors (see below), whose sum is σ = 165391200. Its totient is φ = 14757120.

The previous prime is 51434059. The next prime is 51434069. The reversal of 51434064 is 46043415.

It is an interprime number because it is at equal distance from previous prime (51434059) and next prime (51434069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51434069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29242 + ... + 30950.

It is an arithmetic number, because the mean of its divisors is an integer number (1378260).

Almost surely, 2^51434064 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 51434064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82695600).

51434064 is an abundant number, since it is smaller than the sum of its proper divisors (113957136).

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

51434064 is a wasteful number, since it uses less digits than its factorization.

51434064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 51434064 is about 7171.7545970285. The cubic root of 51434064 is about 371.8920949607.

Adding to 51434064 its reverse (46043415), we get a palindrome (97477479).

The spelling of 51434064 in words is "fifty-one million, four hundred thirty-four thousand, sixty-four".