513536410404 has 240 divisors, whose sum is σ = 1390849891200. Its totient is φ = 165144697344.

The previous prime is 513536410399. The next prime is 513536410411. The reversal of 513536410404 is 404014635315.

513536410404 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 3 + 641 + 0 + 4 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 319561369 + ... + 319562975.

It is an arithmetic number, because the mean of its divisors is an integer number (5795207880).

Almost surely, 2^513536410404 is an apocalyptic number.

513536410404 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 513536410404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695424945600).

513536410404 is an abundant number, since it is smaller than the sum of its proper divisors (877313480796).

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

513536410404 is a wasteful number, since it uses less digits than its factorization.

513536410404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 513536410404 in words is "five hundred thirteen billion, five hundred thirty-six million, four hundred ten thousand, four hundred four".