1006264525417 has 2 divisors, whose sum is σ = 1006264525418. Its totient is φ = 1006264525416.

The previous prime is 1006264525363. The next prime is 1006264525429. The reversal of 1006264525417 is 7145254626001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 785073969936 + 221190555481 = 886044^2 + 470309^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006264525417 - 2⁷ = 1006264525289 is a prime.

It is a super-2 number, since 2×1006264525417² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1006264525517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503132262708 + 503132262709.

It is an arithmetic number, because the mean of its divisors is an integer number (503132262709).

Almost surely, 2^{1006264525417} is an apocalyptic number.

It is an amenable number.

1006264525417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006264525417 is an equidigital number, since it uses as much as digits as its factorization.

1006264525417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 1006264525417 in words is "one trillion, six billion, two hundred sixty-four million, five hundred twenty-five thousand, four hundred seventeen".