1531458225441 has 27 divisors (see below), whose sum is σ = 2229111269203. Its totient is φ = 1013183193120.

The previous prime is 1531458225421. The next prime is 1531458225457. The reversal of 1531458225441 is 1445228541351.

The square root of 1531458225441 is 1237521.

It is a perfect power (a square), and thus also a powerful number.

1531458225441 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 4 + 582 + 25 + 4 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 899585856225 + 631872369216 = 948465^2 + 794904^2 .

It is not a de Polignac number, because 1531458225441 - 2¹⁹ = 1531457701153 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1531458225421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 508619626 + ... + 508622636.

Almost surely, 2^{1531458225441} is an apocalyptic number.

1531458225441 is the 1237521-st square number.

1531458225441 is the 618761-st centered octagonal number.

It is an amenable number.

1531458225441 is a deficient number, since it is larger than the sum of its proper divisors (697653043762).

1531458225441 is an frugal number, since it uses more digits than its factorization.

1531458225441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302 (or 3151 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The spelling of 1531458225441 in words is "one trillion, five hundred thirty-one billion, four hundred fifty-eight million, two hundred twenty-five thousand, four hundred forty-one".