1293717431889 has 27 divisors (see below), whose sum is σ = 1920760901787. Its totient is φ = 839086169904.

The previous prime is 1293717431863. The next prime is 1293717431891. The reversal of 1293717431889 is 9881347173921.

The square root of 1293717431889 is 1137417.

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

1293717431889 is a `hidden beast` number, since 12 + 9 + 371 + 74 + 3 + 188 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1157636124225 + 136081307664 = 1075935^2 + 368892^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1293717431889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1293717431689) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126248164 + ... + 126258410.

Almost surely, 2^{1293717431889} is an apocalyptic number.

1293717431889 is the 1137417-th square number.

1293717431889 is the 568709-th centered octagonal number.

It is an amenable number.

1293717431889 is a deficient number, since it is larger than the sum of its proper divisors (627043469898).

1293717431889 is an frugal number, since it uses more digits than its factorization.

1293717431889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20574 (or 10287 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 1293717431889 in words is "one trillion, two hundred ninety-three billion, seven hundred seventeen million, four hundred thirty-one thousand, eight hundred eighty-nine".