513203004 has 144 divisors (see below), whose sum is σ = 1425846240. Its totient is φ = 155013120.

The previous prime is 513202999. The next prime is 513203023. The reversal of 513203004 is 400302315.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2202472 + ... + 2202704.

It is an arithmetic number, because the mean of its divisors is an integer number (9901710).

Almost surely, 2^513203004 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 513203004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712923120).

513203004 is an abundant number, since it is smaller than the sum of its proper divisors (912643236).

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

513203004 is a wasteful number, since it uses less digits than its factorization.

513203004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 513203004 is about 22653.9842853305. The cubic root of 513203004 is about 800.6260744939.

Adding to 513203004 its reverse (400302315), we get a palindrome (913505319).

The spelling of 513203004 in words is "five hundred thirteen million, two hundred three thousand, four".