1531761248441 has 2 divisors, whose sum is σ = 1531761248442. Its totient is φ = 1531761248440.

The previous prime is 1531761248401. The next prime is 1531761248449. The reversal of 1531761248441 is 1448421671351.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1481575840000 + 50185408441 = 1217200^2 + 224021^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1531761248441 is a prime.

It is not a weakly prime, because it can be changed into another prime (1531761248449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 765880624220 + 765880624221.

It is an arithmetic number, because the mean of its divisors is an integer number (765880624221).

Almost surely, 2^{1531761248441} is an apocalyptic number.

It is an amenable number.

1531761248441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1531761248441 is an equidigital number, since it uses as much as digits as its factorization.

1531761248441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 645120, while the sum is 47.

The spelling of 1531761248441 in words is "one trillion, five hundred thirty-one billion, seven hundred sixty-one million, two hundred forty-eight thousand, four hundred forty-one".