531431542541 has 24 divisors (see below), whose sum is σ = 570433986120. Its totient is φ = 494946432000.

The previous prime is 531431542511. The next prime is 531431542571. The reversal of 531431542541 is 145245134135.

It is an interprime number because it is at equal distance from previous prime (531431542511) and next prime (531431542571).

It can be written as a sum of positive squares in 12 ways, for example, as 38241366916 + 493190175625 = 195554^2 + 702275^2 .

It is a de Polignac number, because none of the positive numbers 2^k-531431542541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 531431542495 and 531431542504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531431542511) 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, 69728711 + ... + 69736331.

It is an arithmetic number, because the mean of its divisors is an integer number (23768082755).

Almost surely, 2^531431542541 is an apocalyptic number.

It is an amenable number.

531431542541 is a deficient number, since it is larger than the sum of its proper divisors (39002443579).

531431542541 is a wasteful number, since it uses less digits than its factorization.

531431542541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10145 (or 10128 counting only the distinct ones).

The product of its digits is 144000, while the sum is 38.

Adding to 531431542541 its reverse (145245134135), we get a palindrome (676676676676).

The spelling of 531431542541 in words is "five hundred thirty-one billion, four hundred thirty-one million, five hundred forty-two thousand, five hundred forty-one".