531467540352 has 256 divisors, whose sum is σ = 1887000000000. Its totient is φ = 143855751168.

The previous prime is 531467540221. The next prime is 531467540377. The reversal of 531467540352 is 253045764135.

531467540352 is a `hidden beast` number, since 5 + 3 + 14 + 67 + 540 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 531467540298 and 531467540307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118477 + ... + 1037772.

It is an arithmetic number, because the mean of its divisors is an integer number (7371093750).

Almost surely, 2^531467540352 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 531467540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943500000000).

531467540352 is an abundant number, since it is smaller than the sum of its proper divisors (1355532459648).

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

531467540352 is a wasteful number, since it uses less digits than its factorization.

531467540352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156298 (or 1156280 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 531467540352 in words is "five hundred thirty-one billion, four hundred sixty-seven million, five hundred forty thousand, three hundred fifty-two".