513203413620 has 96 divisors (see below), whose sum is σ = 1515572956800. Its totient is φ = 129396524544.

The previous prime is 513203413607. The next prime is 513203413621. The reversal of 513203413620 is 26314302315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513203413621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138042 + ... + 1022478.

It is an arithmetic number, because the mean of its divisors is an integer number (15787218300).

Almost surely, 2^513203413620 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 513203413620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757786478400).

513203413620 is an abundant number, since it is smaller than the sum of its proper divisors (1002369543180).

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

513203413620 is a wasteful number, since it uses less digits than its factorization.

513203413620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884977 (or 884975 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 513203413620 its reverse (26314302315), we get a palindrome (539517715935).

The spelling of 513203413620 in words is "five hundred thirteen billion, two hundred three million, four hundred thirteen thousand, six hundred twenty".