517645910133132 has 384 divisors, whose sum is σ = 1469028164567040. Its totient is φ = 140011732439040.

The previous prime is 517645910133109. The next prime is 517645910133133. The reversal of 517645910133132 is 231331019546715.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (517645910133133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1512780853 + ... + 1513122995.

It is an arithmetic number, because the mean of its divisors is an integer number (3825594178560).

Almost surely, 2^{517645910133132} 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 517645910133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734514082283520).

517645910133132 is an abundant number, since it is smaller than the sum of its proper divisors (951382254433908).

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

517645910133132 is a wasteful number, since it uses less digits than its factorization.

517645910133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342621 (or 342619 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

Adding to 517645910133132 its reverse (231331019546715), we get a palindrome (748976929679847).

The spelling of 517645910133132 in words is "five hundred seventeen trillion, six hundred forty-five billion, nine hundred ten million, one hundred thirty-three thousand, one hundred thirty-two".