1006268028697 has 2 divisors, whose sum is σ = 1006268028698. Its totient is φ = 1006268028696.

The previous prime is 1006268028617. The next prime is 1006268028737. The reversal of 1006268028697 is 7968208626001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 742258063936 + 264009964761 = 861544^2 + 513819^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006268028697 - 2¹¹ = 1006268026649 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006268028617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503134014348 + 503134014349.

It is an arithmetic number, because the mean of its divisors is an integer number (503134014349).

Almost surely, 2^{1006268028697} is an apocalyptic number.

It is an amenable number.

1006268028697 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006268028697 is an equidigital number, since it uses as much as digits as its factorization.

1006268028697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 1006268028697 in words is "one trillion, six billion, two hundred sixty-eight million, twenty-eight thousand, six hundred ninety-seven".