513465672 has 64 divisors (see below), whose sum is σ = 1317384000. Its totient is φ = 166713344.

The previous prime is 513465661. The next prime is 513465691. The reversal of 513465672 is 276564315.

It is a super-3 number, since 3×513465672³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513465672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158404 + ... + 161612.

It is an arithmetic number, because the mean of its divisors is an integer number (20584125).

Almost surely, 2^513465672 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 513465672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658692000).

513465672 is an abundant number, since it is smaller than the sum of its proper divisors (803918328).

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

513465672 is a wasteful number, since it uses less digits than its factorization.

513465672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3386 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 513465672 is about 22659.7809345104. The cubic root of 513465672 is about 800.7626435708.

The spelling of 513465672 in words is "five hundred thirteen million, four hundred sixty-five thousand, six hundred seventy-two".