513020860184448 has 1536 divisors, whose sum is σ = 1940223968179200. Its totient is φ = 131956390379520.

The previous prime is 513020860184423. The next prime is 513020860184477. The reversal of 513020860184448 is 844481068020315.

513020860184448 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 20 + 8 + 601 + 8 + 4 + 4 + 4 + 8 = 666.

It is a super-3 number, since 3×513020860184448³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 513020860184394 and 513020860184403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84754806190 + ... + 84754812242.

It is an arithmetic number, because the mean of its divisors is an integer number (1263166645950).

Almost surely, 2^{513020860184448} 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 513020860184448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970111984089600).

513020860184448 is an abundant number, since it is smaller than the sum of its proper divisors (1427203107994752).

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

513020860184448 is a wasteful number, since it uses less digits than its factorization.

513020860184448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6537 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 513020860184448 in words is "five hundred thirteen trillion, twenty billion, eight hundred sixty million, one hundred eighty-four thousand, four hundred forty-eight".