513335420 has 48 divisors (see below), whose sum is σ = 1167118848. Its totient is φ = 188528640.

The previous prime is 513335401. The next prime is 513335423. The reversal of 513335420 is 24533315.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 513335420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513335423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44492 + ... + 54828.

It is an arithmetic number, because the mean of its divisors is an integer number (24314976).

Almost surely, 2^513335420 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 513335420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583559424).

513335420 is an abundant number, since it is smaller than the sum of its proper divisors (653783428).

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

513335420 is a wasteful number, since it uses less digits than its factorization.

513335420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10550 (or 10548 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 513335420 is about 22656.9066732420. The cubic root of 513335420 is about 800.6949274201.

Adding to 513335420 its reverse (24533315), we get a palindrome (537868735).

The spelling of 513335420 in words is "five hundred thirteen million, three hundred thirty-five thousand, four hundred twenty".