513047463362460 has 144 divisors (see below), whose sum is σ = 1676082819692736. Its totient is φ = 126278978282496.

The previous prime is 513047463362453. The next prime is 513047463362519. The reversal of 513047463362460 is 64263364740315.

It is a happy number.

513047463362460 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 4 + 7 + 4 + 6 + 3 + 3 + 624 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 513047463362397 and 513047463362406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22366032 + ... + 39068328.

It is an arithmetic number, because the mean of its divisors is an integer number (11639464025644).

Almost surely, 2^{513047463362460} is an apocalyptic number.

It is an amenable number.

513047463362460 is an abundant number, since it is smaller than the sum of its proper divisors (1163035356330276).

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

513047463362460 is a wasteful number, since it uses less digits than its factorization.

513047463362460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16715452 (or 16715447 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 54.

The spelling of 513047463362460 in words is "five hundred thirteen trillion, forty-seven billion, four hundred sixty-three million, three hundred sixty-two thousand, four hundred sixty".