513102000 has 80 divisors (see below), whose sum is σ = 1654260192. Its totient is φ = 136825600.

The previous prime is 513101899. The next prime is 513102001. The reversal of 513102000 is 201315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (513102001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36759 + ... + 48758.

Almost surely, 2^513102000 is an apocalyptic number.

513102000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513102000 is an abundant number, since it is smaller than the sum of its proper divisors (1141158192).

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

513102000 is a wasteful number, since it uses less digits than its factorization.

513102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85543 (or 85527 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 513102000 is about 22651.7548989035. The cubic root of 513102000 is about 800.5735470398.

Adding to 513102000 its reverse (201315), we get a palindrome (513303315).

The spelling of 513102000 in words is "five hundred thirteen million, one hundred two thousand".