513621828 has 72 divisors (see below), whose sum is σ = 1338809472. Its totient is φ = 165940032.

The previous prime is 513621821. The next prime is 513621839. The reversal of 513621828 is 828126315.

It is a happy number.

513621828 is a `hidden beast` number, since 5 + 1 + 3 + 621 + 8 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 513621792 and 513621801.

It is not an unprimeable number, because it can be changed into a prime (513621821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179626 + ... + 182462.

It is an arithmetic number, because the mean of its divisors is an integer number (18594576).

Almost surely, 2^513621828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513621828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669404736).

513621828 is an abundant number, since it is smaller than the sum of its proper divisors (825187644).

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

513621828 is a wasteful number, since it uses less digits than its factorization.

513621828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2996 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 513621828 is about 22663.2263369539. The cubic root of 513621828 is about 800.8438117476.

The spelling of 513621828 in words is "five hundred thirteen million, six hundred twenty-one thousand, eight hundred twenty-eight".