513536544 has 96 divisors (see below), whose sum is σ = 1585967040. Its totient is φ = 161104896.

The previous prime is 513536533. The next prime is 513536563. The reversal of 513536544 is 445635315.

513536544 is a `hidden beast` number, since 51 + 35 + 36 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 513536499 and 513536508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2794 + ... + 32169.

It is an arithmetic number, because the mean of its divisors is an integer number (16520490).

Almost surely, 2^513536544 is an apocalyptic number.

513536544 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 513536544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792983520).

513536544 is an abundant number, since it is smaller than the sum of its proper divisors (1072430496).

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

513536544 is a wasteful number, since it uses less digits than its factorization.

513536544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34999 (or 34985 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 513536544 is about 22661.3447085560. The cubic root of 513536544 is about 800.7994840987.

The spelling of 513536544 in words is "five hundred thirteen million, five hundred thirty-six thousand, five hundred forty-four".