513046480 has 40 divisors (see below), whose sum is σ = 1195528392. Its totient is φ = 204754944.

The previous prime is 513046433. The next prime is 513046481. The reversal of 513046480 is 84640315.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47004736 + 466041744 = 6856^2 + 21588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513046481) 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, 29544 + ... + 43576.

Almost surely, 2^513046480 is an apocalyptic number.

It is an amenable number.

513046480 is an abundant number, since it is smaller than the sum of its proper divisors (682481912).

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

513046480 is a wasteful number, since it uses less digits than its factorization.

513046480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14503 (or 14497 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 513046480 is about 22650.5293536376. The cubic root of 513046480 is about 800.5446707497.

Adding to 513046480 its reverse (84640315), we get a palindrome (597686795).

The spelling of 513046480 in words is "five hundred thirteen million, forty-six thousand, four hundred eighty".