513533460 has 48 divisors (see below), whose sum is σ = 1568613312. Its totient is φ = 124492800.

The previous prime is 513533459. The next prime is 513533513. The reversal of 513533460 is 64335315.

It is a happy number.

It is a super-2 number, since 2×513533460² = 527433229079143200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 388381 + ... + 389700.

It is an arithmetic number, because the mean of its divisors is an integer number (32679444).

Almost surely, 2^513533460 is an apocalyptic number.

It is an amenable number.

513533460 is an abundant number, since it is smaller than the sum of its proper divisors (1055079852).

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

513533460 is a wasteful number, since it uses less digits than its factorization.

513533460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778104 (or 778102 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 513533460 is about 22661.2766630656. The cubic root of 513533460 is about 800.7978810511.

Adding to 513533460 its reverse (64335315), we get a palindrome (577868775).

The spelling of 513533460 in words is "five hundred thirteen million, five hundred thirty-three thousand, four hundred sixty".