513201024 has 192 divisors, whose sum is σ = 1761776640. Its totient is φ = 140203008.

The previous prime is 513201019. The next prime is 513201109. The reversal of 513201024 is 420102315.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 513200988 and 513201006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184089 + ... + 186855.

It is an arithmetic number, because the mean of its divisors is an integer number (9175920).

Almost surely, 2^513201024 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 513201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880888320).

513201024 is an abundant number, since it is smaller than the sum of its proper divisors (1248575616).

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

513201024 is a wasteful number, since it uses less digits than its factorization.

513201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 513201024 is about 22653.9405843663. The cubic root of 513201024 is about 800.6250448548.

Adding to 513201024 its reverse (420102315), we get a palindrome (933303339).

The spelling of 513201024 in words is "five hundred thirteen million, two hundred one thousand, twenty-four".