531481197312 has 864 divisors, whose sum is σ = 1823922487296. Its totient is φ = 147441254400.

The previous prime is 531481197287. The next prime is 531481197337. The reversal of 531481197312 is 213791184135.

531481197312 is a `hidden beast` number, since 5 + 3 + 148 + 1 + 197 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (531481197287) and next prime (531481197337).

Its product of digits (181440) is a multiple of the sum of its prime divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 875586513 + ... + 875587119.

Almost surely, 2^531481197312 is an apocalyptic number.

531481197312 is a gapful number since it is divisible by the number (52) 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 531481197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911961243648).

531481197312 is an abundant number, since it is smaller than the sum of its proper divisors (1292441289984).

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

531481197312 is a wasteful number, since it uses less digits than its factorization.

531481197312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 720 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 531481197312 in words is "five hundred thirty-one billion, four hundred eighty-one million, one hundred ninety-seven thousand, three hundred twelve".