531314413100 has 72 divisors (see below), whose sum is σ = 1168386260160. Its totient is φ = 209684666880.

The previous prime is 531314413099. The next prime is 531314413109. The reversal of 531314413100 is 1314413135.

It is a super-2 number, since 2×531314413100² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 531314413100.

It is not an unprimeable number, because it can be changed into a prime (531314413109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11297234 + ... + 11344166.

Almost surely, 2^531314413100 is an apocalyptic number.

531314413100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531314413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584193130080).

531314413100 is an abundant number, since it is smaller than the sum of its proper divisors (637071847060).

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

531314413100 is a wasteful number, since it uses less digits than its factorization.

531314413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48459 (or 48452 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 531314413100 its reverse (1314413135), we get a palindrome (532628826235).

The spelling of 531314413100 in words is "five hundred thirty-one billion, three hundred fourteen million, four hundred thirteen thousand, one hundred".