51064 has 16 divisors (see below), whose sum is σ = 103320. Its totient is φ = 23520.

The previous prime is 51061. The next prime is 51071. The reversal of 51064 is 46015.

51064 = T₂₀ + T₂₁ + ... + T₆₇.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51061) 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, 142 + ... + 349.

2⁵¹⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

51064 is an abundant number, since it is smaller than the sum of its proper divisors (52256).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51660).

51064 is a wasteful number, since it uses less digits than its factorization.

51064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 51064 is about 225.9734497679. The cubic root of 51064 is about 37.0998035943.

Adding to 51064 its reverse (46015), we get a palindrome (97079).

It can be divided in two parts, 510 and 64, that multiplied together give a triangular number (32640 = T₂₅₅).

The spelling of 51064 in words is "fifty-one thousand, sixty-four".