513825084 has 18 divisors (see below), whose sum is σ = 1298835720. Its totient is φ = 171275016.

The previous prime is 513825073. The next prime is 513825097. The reversal of 513825084 is 480528315.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 14272919 = 513825084 / (5 + 1 + 3 + 8 + 2 + 5 + 0 + 8 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7136424 + ... + 7136495.

It is an arithmetic number, because the mean of its divisors is an integer number (72157540).

Almost surely, 2^513825084 is an apocalyptic number.

It is an amenable number.

513825084 is an abundant number, since it is smaller than the sum of its proper divisors (785010636).

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

513825084 is a wasteful number, since it uses less digits than its factorization.

513825084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14272929 (or 14272924 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 513825084 is about 22667.7101622550. The cubic root of 513825084 is about 800.9494373485.

The spelling of 513825084 in words is "five hundred thirteen million, eight hundred twenty-five thousand, eighty-four".