513003420 has 72 divisors (see below), whose sum is σ = 1638021840. Its totient is φ = 129600000.

The previous prime is 513003347. The next prime is 513003427. The reversal of 513003420 is 24300315.

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

It is a junction number, because it is equal to n+sod(n) for n = 513003393 and 513003402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513003427) 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, 71581 + ... + 78420.

Almost surely, 2^513003420 is an apocalyptic number.

It is an amenable number.

513003420 is an abundant number, since it is smaller than the sum of its proper divisors (1125018420).

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

513003420 is a wasteful number, since it uses less digits than its factorization.

513003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150035 (or 150030 counting only the distinct ones).

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

The square root of 513003420 is about 22649.5788040308. The cubic root of 513003420 is about 800.5222735471.

Adding to 513003420 its reverse (24300315), we get a palindrome (537303735).

The spelling of 513003420 in words is "five hundred thirteen million, three thousand, four hundred twenty".