459731461249 has 2 divisors, whose sum is σ = 459731461250. Its totient is φ = 459731461248.

The previous prime is 459731461183. The next prime is 459731461253. The reversal of 459731461249 is 942164137954.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259622859024 + 200108602225 = 509532^2 + 447335^2 .

It is a cyclic number.

It is not a de Polignac number, because 459731461249 - 2³⁷ = 322292507777 is a prime.

It is a super-2 number, since 2×459731461249² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 459731461249.

It is not a weakly prime, because it can be changed into another prime (459731401249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 229865730624 + 229865730625.

It is an arithmetic number, because the mean of its divisors is an integer number (229865730625).

Almost surely, 2^459731461249 is an apocalyptic number.

It is an amenable number.

459731461249 is a deficient number, since it is larger than the sum of its proper divisors (1).

459731461249 is an equidigital number, since it uses as much as digits as its factorization.

459731461249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6531840, while the sum is 55.

The spelling of 459731461249 in words is "four hundred fifty-nine billion, seven hundred thirty-one million, four hundred sixty-one thousand, two hundred forty-nine".