513401424 has 80 divisors (see below), whose sum is σ = 1363912704. Its totient is φ = 166320000.

The previous prime is 513401419. The next prime is 513401459. The reversal of 513401424 is 424104315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 513401394 and 513401403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517569 + ... + 518559.

Almost surely, 2^513401424 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 513401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681956352).

513401424 is an abundant number, since it is smaller than the sum of its proper divisors (850511280).

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

513401424 is a wasteful number, since it uses less digits than its factorization.

513401424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 513401424 is about 22658.3632242049. The cubic root of 513401424 is about 800.7292433865.

Adding to 513401424 its reverse (424104315), we get a palindrome (937505739).

The spelling of 513401424 in words is "five hundred thirteen million, four hundred one thousand, four hundred twenty-four".