513331413200 has 120 divisors (see below), whose sum is σ = 1300304037120. Its totient is φ = 194208537600.

The previous prime is 513331413173. The next prime is 513331413227. The reversal of 513331413200 is 2314133315.

It is an interprime number because it is at equal distance from previous prime (513331413173) and next prime (513331413227).

It is a self number, because there is not a number n which added to its sum of digits gives 513331413200.

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, 4634465 + ... + 4743935.

It is an arithmetic number, because the mean of its divisors is an integer number (10835866976).

Almost surely, 2^513331413200 is an apocalyptic number.

513331413200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513331413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650152018560).

513331413200 is an abundant number, since it is smaller than the sum of its proper divisors (786972623920).

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

513331413200 is a wasteful number, since it uses less digits than its factorization.

513331413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110125 (or 110114 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 513331413200 its reverse (2314133315), we get a palindrome (515645546515).

The spelling of 513331413200 in words is "five hundred thirteen billion, three hundred thirty-one million, four hundred thirteen thousand, two hundred".