513141876 has 108 divisors (see below), whose sum is σ = 1432539108. Its totient is φ = 153957888.

The previous prime is 513141869. The next prime is 513141907. The reversal of 513141876 is 678141315.

It can be written as a sum of positive squares in 2 ways, for example, as 186978276 + 326163600 = 13674^2 + 18060^2 .

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 513141876.

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 35 ways as a sum of consecutive naturals, for example, 865036 + ... + 865628.

It is an arithmetic number, because the mean of its divisors is an integer number (13264251).

Almost surely, 2^513141876 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 513141876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716269554).

513141876 is an abundant number, since it is smaller than the sum of its proper divisors (919397232).

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

513141876 is a wasteful number, since it uses less digits than its factorization.

513141876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 654 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 513141876 is about 22652.6350785069. The cubic root of 513141876 is about 800.5942855049.

The spelling of 513141876 in words is "five hundred thirteen million, one hundred forty-one thousand, eight hundred seventy-six".