531504530313414 has 192 divisors, whose sum is σ = 1254272156121600. Its totient is φ = 149698566484992.

The previous prime is 531504530313413. The next prime is 531504530313437. The reversal of 531504530313414 is 414313035405135.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531504530313413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21329275647 + ... + 21329300565.

It is an arithmetic number, because the mean of its divisors is an integer number (6532667479800).

Almost surely, 2^{531504530313414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531504530313414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627136078060800).

531504530313414 is an abundant number, since it is smaller than the sum of its proper divisors (722767625808186).

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

531504530313414 is a wasteful number, since it uses less digits than its factorization.

531504530313414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28507 (or 28500 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 531504530313414 its reverse (414313035405135), we get a palindrome (945817565718549).

The spelling of 531504530313414 in words is "five hundred thirty-one trillion, five hundred four billion, five hundred thirty million, three hundred thirteen thousand, four hundred fourteen".