1531306157121 has 24 divisors (see below), whose sum is σ = 2395800801576. Its totient is φ = 936895173120.

The previous prime is 1531306157111. The next prime is 1531306157123. The reversal of 1531306157121 is 1217516031351.

1531306157121 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 3 + 0 + 61 + 571 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 346449960000 + 1184856197121 = 588600^2 + 1088511^2 .

It is not a de Polignac number, because 1531306157121 - 2¹⁷ = 1531306026049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1531306157123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37806600 + ... + 37847081.

It is an arithmetic number, because the mean of its divisors is an integer number (99825033399).

Almost surely, 2^{1531306157121} is an apocalyptic number.

It is an amenable number.

1531306157121 is a deficient number, since it is larger than the sum of its proper divisors (864494644455).

1531306157121 is a wasteful number, since it uses less digits than its factorization.

1531306157121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75653873 (or 75653870 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 1531306157121 in words is "one trillion, five hundred thirty-one billion, three hundred six million, one hundred fifty-seven thousand, one hundred twenty-one".