1009867984577 has 2 divisors, whose sum is σ = 1009867984578. Its totient is φ = 1009867984576.

The previous prime is 1009867984549. The next prime is 1009867984589. The reversal of 1009867984577 is 7754897689001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1004547157441 + 5320827136 = 1002271^2 + 72944^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009867984577 - 2¹² = 1009867980481 is a prime.

It is a super-2 number, since 2×1009867984577² (a number of 25 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 1009867984577.

It is not a weakly prime, because it can be changed into another prime (1009867984777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504933992288 + 504933992289.

It is an arithmetic number, because the mean of its divisors is an integer number (504933992289).

Almost surely, 2^{1009867984577} is an apocalyptic number.

It is an amenable number.

1009867984577 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009867984577 is an equidigital number, since it uses as much as digits as its factorization.

1009867984577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 213373440, while the sum is 71.

The spelling of 1009867984577 in words is "one trillion, nine billion, eight hundred sixty-seven million, nine hundred eighty-four thousand, five hundred seventy-seven".