513404473824 has 768 divisors, whose sum is σ = 1766286950400. Its totient is φ = 143439206400.

The previous prime is 513404473823. The next prime is 513404473849. The reversal of 513404473824 is 428374404315.

513404473824 is a `hidden beast` number, since 513 + 4 + 0 + 44 + 73 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 513404473824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513404473823) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1398922089 + ... + 1398922455.

It is an arithmetic number, because the mean of its divisors is an integer number (2299852800).

Almost surely, 2^513404473824 is an apocalyptic number.

513404473824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513404473824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883143475200).

513404473824 is an abundant number, since it is smaller than the sum of its proper divisors (1252882476576).

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

513404473824 is a wasteful number, since it uses less digits than its factorization.

513404473824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 513404473824 in words is "five hundred thirteen billion, four hundred four million, four hundred seventy-three thousand, eight hundred twenty-four".