513010064 has 40 divisors (see below), whose sum is σ = 1141766208. Its totient is φ = 218736000.

The previous prime is 513010033. The next prime is 513010067. The reversal of 513010064 is 460010315.

It is not an unprimeable number, because it can be changed into a prime (513010067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10439 + ... + 33689.

Almost surely, 2^513010064 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 513010064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570883104).

513010064 is an abundant number, since it is smaller than the sum of its proper divisors (628756144).

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

513010064 is a wasteful number, since it uses less digits than its factorization.

513010064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23463 (or 23457 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 513010064 is about 22649.7254729500. The cubic root of 513010064 is about 800.5257294350.

Adding to 513010064 its reverse (460010315), we get a palindrome (973020379).

The spelling of 513010064 in words is "five hundred thirteen million, ten thousand, sixty-four".