1531384216857 has 48 divisors (see below), whose sum is σ = 2555208452160. Its totient is φ = 873458150400.

The previous prime is 1531384216847. The next prime is 1531384216933. The reversal of 1531384216857 is 7586124831351.

1531384216857 is a `hidden beast` number, since 1 + 5 + 3 + 138 + 421 + 6 + 85 + 7 = 666.

It is not a de Polignac number, because 1531384216857 - 2²⁰ = 1531383168281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1531384216807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43082182 + ... + 43117712.

It is an arithmetic number, because the mean of its divisors is an integer number (53233509420).

Almost surely, 2^{1531384216857} is an apocalyptic number.

1531384216857 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1531384216857 is a deficient number, since it is larger than the sum of its proper divisors (1023824235303).

1531384216857 is a wasteful number, since it uses less digits than its factorization.

1531384216857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61174 (or 61171 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 1531384216857 in words is "one trillion, five hundred thirty-one billion, three hundred eighty-four million, two hundred sixteen thousand, eight hundred fifty-seven".