513523100 has 18 divisors (see below), whose sum is σ = 1114345344. Its totient is φ = 205409200.

The previous prime is 513523057. The next prime is 513523117. The reversal of 513523100 is 1325315.

It is a super-2 number, since 2×513523100² = 527411948467220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2567516 + ... + 2567715.

Almost surely, 2^513523100 is an apocalyptic number.

513523100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513523100 is an abundant number, since it is smaller than the sum of its proper divisors (600822244).

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

513523100 is a wasteful number, since it uses less digits than its factorization.

513523100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135245 (or 5135238 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 513523100 is about 22661.0480781450. The cubic root of 513523100 is about 800.7924959285.

Adding to 513523100 its reverse (1325315), we get a palindrome (514848415).

The spelling of 513523100 in words is "five hundred thirteen million, five hundred twenty-three thousand, one hundred".