513045468 has 72 divisors (see below), whose sum is σ = 1440356400. Its totient is φ = 157854528.

The previous prime is 513045437. The next prime is 513045473. The reversal of 513045468 is 864540315.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 4198 + ... + 32306.

It is an arithmetic number, because the mean of its divisors is an integer number (20004950).

Almost surely, 2^513045468 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 513045468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720178200).

513045468 is an abundant number, since it is smaller than the sum of its proper divisors (927310932).

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

513045468 is a wasteful number, since it uses less digits than its factorization.

513045468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28148 (or 28127 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 513045468 is about 22650.5070141929. The cubic root of 513045468 is about 800.5441443830.

The spelling of 513045468 in words is "five hundred thirteen million, forty-five thousand, four hundred sixty-eight".