513022100 has 72 divisors (see below), whose sum is σ = 1165425408. Its totient is φ = 195782400.

The previous prime is 513022099. The next prime is 513022109. The reversal of 513022100 is 1220315.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513022109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225167 + ... + 227433.

It is an arithmetic number, because the mean of its divisors is an integer number (16186464).

Almost surely, 2^513022100 is an apocalyptic number.

513022100 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 513022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582712704).

513022100 is an abundant number, since it is smaller than the sum of its proper divisors (652403308).

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

513022100 is a wasteful number, since it uses less digits than its factorization.

513022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 513022100 is about 22649.9911699762. The cubic root of 513022100 is about 800.5319899050.

Adding to 513022100 its reverse (1220315), we get a palindrome (514242415).

The spelling of 513022100 in words is "five hundred thirteen million, twenty-two thousand, one hundred".