531401201320 has 256 divisors, whose sum is σ = 1387736064000. Its totient is φ = 181110758400.

The previous prime is 531401201291. The next prime is 531401201323. The reversal of 531401201320 is 23102104135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 531401201291 and 531401201300.

It is not an unprimeable number, because it can be changed into a prime (531401201323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 524581134 + ... + 524582146.

It is an arithmetic number, because the mean of its divisors is an integer number (5420844000).

Almost surely, 2^531401201320 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 531401201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693868032000).

531401201320 is an abundant number, since it is smaller than the sum of its proper divisors (856334862680).

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

531401201320 is a wasteful number, since it uses less digits than its factorization.

531401201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 531401201320 its reverse (23102104135), we get a palindrome (554503305455).

The spelling of 531401201320 in words is "five hundred thirty-one billion, four hundred one million, two hundred one thousand, three hundred twenty".