1005145231249 has 2 divisors, whose sum is σ = 1005145231250. Its totient is φ = 1005145231248.

The previous prime is 1005145231219. The next prime is 1005145231253. The reversal of 1005145231249 is 9421325415001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 825314107024 + 179831124225 = 908468^2 + 424065^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005145231249 - 2²³ = 1005136842641 is a prime.

It is a super-2 number, since 2×1005145231249² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005145231219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502572615624 + 502572615625.

It is an arithmetic number, because the mean of its divisors is an integer number (502572615625).

Almost surely, 2^{1005145231249} is an apocalyptic number.

It is an amenable number.

1005145231249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005145231249 is an equidigital number, since it uses as much as digits as its factorization.

1005145231249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 1005145231249 in words is "one trillion, five billion, one hundred forty-five million, two hundred thirty-one thousand, two hundred forty-nine".