457293007753 has 2 divisors, whose sum is σ = 457293007754. Its totient is φ = 457293007752.

The previous prime is 457293007733. The next prime is 457293007763. The reversal of 457293007753 is 357700392754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402549643024 + 54743364729 = 634468^2 + 233973^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457293007753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 457293007753.

It is not a weakly prime, because it can be changed into another prime (457293007733) 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, 228646503876 + 228646503877.

It is an arithmetic number, because the mean of its divisors is an integer number (228646503877).

Almost surely, 2^457293007753 is an apocalyptic number.

It is an amenable number.

457293007753 is a deficient number, since it is larger than the sum of its proper divisors (1).

457293007753 is an equidigital number, since it uses as much as digits as its factorization.

457293007753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5556600, while the sum is 52.

The spelling of 457293007753 in words is "four hundred fifty-seven billion, two hundred ninety-three million, seven thousand, seven hundred fifty-three".