1006257287567 has 16 divisors (see below), whose sum is σ = 1245973462272. Its totient is φ = 792892195200.

The previous prime is 1006257287557. The next prime is 1006257287579. The reversal of 1006257287567 is 7657827526001.

It is not a de Polignac number, because 1006257287567 - 2⁴ = 1006257287551 is a prime.

It is a super-2 number, since 2×1006257287567² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006257287507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98319809 + ... + 98330042.

It is an arithmetic number, because the mean of its divisors is an integer number (77873341392).

Almost surely, 2^{1006257287567} is an apocalyptic number.

1006257287567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1006257287567 is a deficient number, since it is larger than the sum of its proper divisors (239716174705).

1006257287567 is a wasteful number, since it uses less digits than its factorization.

1006257287567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196649918.

The product of its (nonzero) digits is 9878400, while the sum is 56.

The spelling of 1006257287567 in words is "one trillion, six billion, two hundred fifty-seven million, two hundred eighty-seven thousand, five hundred sixty-seven".