513203446140 has 192 divisors, whose sum is σ = 1793239741440. Its totient is φ = 106538895360.

The previous prime is 513203446127. The next prime is 513203446177. The reversal of 513203446140 is 41644302315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4886824 + ... + 4990736.

It is an arithmetic number, because the mean of its divisors is an integer number (9339790320).

Almost surely, 2^513203446140 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 513203446140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896619870720).

513203446140 is an abundant number, since it is smaller than the sum of its proper divisors (1280036295300).

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

513203446140 is a wasteful number, since it uses less digits than its factorization.

513203446140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105012 (or 105010 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 513203446140 its reverse (41644302315), we get a palindrome (554847748455).

The spelling of 513203446140 in words is "five hundred thirteen billion, two hundred three million, four hundred forty-six thousand, one hundred forty".