51064064 has 36 divisors (see below), whose sum is σ = 102606756. Its totient is φ = 25362432.

The previous prime is 51064063. The next prime is 51064067. The reversal of 51064064 is 46046015.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43665664 + 7398400 = 6608^2 + 2720^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51064063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43712 + ... + 44864.

Almost surely, 2^51064064 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 51064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51303378).

51064064 is an abundant number, since it is smaller than the sum of its proper divisors (51542692).

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

51064064 is a wasteful number, since it uses less digits than its factorization.

51064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 51064064 is about 7145.9123980077. The cubic root of 51064064 is about 370.9981909372.

The spelling of 51064064 in words is "fifty-one million, sixty-four thousand, sixty-four".