513678529044 has 18 divisors (see below), whose sum is σ = 1298465170730. Its totient is φ = 171226176336.

The previous prime is 513678528983. The next prime is 513678529099. The reversal of 513678529044 is 440925876315.

It is a happy number.

513678529044 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 78 + 529 + 0 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 305731584900 + 207946944144 = 552930^2 + 456012^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7134423979 + ... + 7134424050.

It is a 1-persistent number, because it is pandigital, but 2⋅513678529044 = 1027357058088 is not.

Almost surely, 2^513678529044 is an apocalyptic number.

It is an amenable number.

513678529044 is an abundant number, since it is smaller than the sum of its proper divisors (784786641686).

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

513678529044 is a wasteful number, since it uses less digits than its factorization.

513678529044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14268848039 (or 14268848034 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 513678529044 in words is "five hundred thirteen billion, six hundred seventy-eight million, five hundred twenty-nine thousand, forty-four".