513544032104004 has 144 divisors (see below), whose sum is σ = 1486594983444480. Its totient is φ = 148046890104000.

The previous prime is 513544032104003. The next prime is 513544032104023. The reversal of 513544032104004 is 400401230445315.

513544032104004 is a `hidden beast` number, since 5 + 1 + 3 + 544 + 0 + 3 + 2 + 104 + 0 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 513544032104004.

It is not an unprimeable number, because it can be changed into a prime (513544032104003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353794132 + ... + 355242699.

It is an arithmetic number, because the mean of its divisors is an integer number (10323576273920).

Almost surely, 2^{513544032104004} is an apocalyptic number.

It is an amenable number.

513544032104004 is an abundant number, since it is smaller than the sum of its proper divisors (973050951340476).

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

513544032104004 is a wasteful number, since it uses less digits than its factorization.

513544032104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709036942 (or 709036937 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 513544032104004 its reverse (400401230445315), we get a palindrome (913945262549319).

The spelling of 513544032104004 in words is "five hundred thirteen trillion, five hundred forty-four billion, thirty-two million, one hundred four thousand, four".