513209376 has 72 divisors (see below), whose sum is σ = 1484224560. Its totient is φ = 168164736.

The previous prime is 513209363. The next prime is 513209377. The reversal of 513209376 is 673902315.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×513209376² = 526767727228618752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 513209376.

It is not an unprimeable number, because it can be changed into a prime (513209377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1891 + ... + 32093.

It is an arithmetic number, because the mean of its divisors is an integer number (20614230).

Almost surely, 2^513209376 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 513209376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742112280).

513209376 is an abundant number, since it is smaller than the sum of its proper divisors (971015184).

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

513209376 is a wasteful number, since it uses less digits than its factorization.

513209376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30278 (or 30267 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 513209376 is about 22654.1249224065. The cubic root of 513209376 is about 800.6293880418.

The spelling of 513209376 in words is "five hundred thirteen million, two hundred nine thousand, three hundred seventy-six".