513641452104 has 192 divisors, whose sum is σ = 1589734823040. Its totient is φ = 148300922880.

The previous prime is 513641452097. The next prime is 513641452123. The reversal of 513641452104 is 401254146315.

513641452104 is a `hidden beast` number, since 5 + 1 + 3 + 641 + 4 + 5 + 2 + 1 + 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4626654 + ... + 4736370.

It is an arithmetic number, because the mean of its divisors is an integer number (8279868870).

Almost surely, 2^513641452104 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 513641452104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794867411520).

513641452104 is an abundant number, since it is smaller than the sum of its proper divisors (1076093370936).

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

513641452104 is a wasteful number, since it uses less digits than its factorization.

513641452104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110020 (or 110013 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 513641452104 its reverse (401254146315), we get a palindrome (914895598419).

The spelling of 513641452104 in words is "five hundred thirteen billion, six hundred forty-one million, four hundred fifty-two thousand, one hundred four".