513326100 has 144 divisors (see below), whose sum is σ = 1756137600. Its totient is φ = 113272320.

The previous prime is 513326089. The next prime is 513326113. The reversal of 513326100 is 1623315.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56686 + ... + 65114.

It is an arithmetic number, because the mean of its divisors is an integer number (12195400).

Almost surely, 2^513326100 is an apocalyptic number.

513326100 is a gapful number since it is divisible by the number (50) 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 513326100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878068800).

513326100 is an abundant number, since it is smaller than the sum of its proper divisors (1242811500).

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

513326100 is a wasteful number, since it uses less digits than its factorization.

513326100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8482 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 513326100 is about 22656.7009955112. The cubic root of 513326100 is about 800.6900816463.

Adding to 513326100 its reverse (1623315), we get a palindrome (514949415).

The spelling of 513326100 in words is "five hundred thirteen million, three hundred twenty-six thousand, one hundred".