531245214540324 has 144 divisors (see below), whose sum is σ = 1445268792095856. Its totient is φ = 163921902796800.

The previous prime is 531245214540323. The next prime is 531245214540353. The reversal of 531245214540324 is 423045412542135.

531245214540324 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 4 + 5 + 214 + 5 + 403 + 24 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 186339699396900 + 344905515143424 = 13650630^2 + 18571632^2 .

It is a super-6 number, since 6×531245214540324⁶ (a number of 90 digits) contains 666666 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 531245214540324.

It is not an unprimeable number, because it can be changed into a prime (531245214540323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562382644 + ... + 563326484.

It is an arithmetic number, because the mean of its divisors is an integer number (10036588833999).

Almost surely, 2^{531245214540324} 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 531245214540324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722634396047928).

531245214540324 is an abundant number, since it is smaller than the sum of its proper divisors (914023577555532).

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

531245214540324 is a wasteful number, since it uses less digits than its factorization.

531245214540324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959006 (or 959001 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 531245214540324 in words is "five hundred thirty-one trillion, two hundred forty-five billion, two hundred fourteen million, five hundred forty thousand, three hundred twenty-four".