513070336 has 72 divisors (see below), whose sum is σ = 1119654144. Its totient is φ = 233594880.

The previous prime is 513070333. The next prime is 513070339. The reversal of 513070336 is 633070315.

It is an interprime number because it is at equal distance from previous prime (513070333) and next prime (513070339).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513070331) 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, 133011 + ... + 136813.

It is an arithmetic number, because the mean of its divisors is an integer number (15550752).

Almost surely, 2^513070336 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 513070336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559827072).

513070336 is an abundant number, since it is smaller than the sum of its proper divisors (606583808).

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

513070336 is a wasteful number, since it uses less digits than its factorization.

513070336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 28.

The square root of 513070336 is about 22651.0559577252. The cubic root of 513070336 is about 800.5570786558.

It can be divided in two parts, 5130 and 70336, that added together give a triangular number (75466 = T₃₈₈).

The spelling of 513070336 in words is "five hundred thirteen million, seventy thousand, three hundred thirty-six".