1001572617841 has 2 divisors, whose sum is σ = 1001572617842. Its totient is φ = 1001572617840.

The previous prime is 1001572617761. The next prime is 1001572617863. The reversal of 1001572617841 is 1487162751001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 729479977216 + 272092640625 = 854096^2 + 521625^2 .

It is an emirp because it is prime and its reverse (1487162751001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001572617841 - 2¹⁷ = 1001572486769 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001572614841) 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, 500786308920 + 500786308921.

It is an arithmetic number, because the mean of its divisors is an integer number (500786308921).

Almost surely, 2^{1001572617841} is an apocalyptic number.

It is an amenable number.

1001572617841 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001572617841 is an equidigital number, since it uses as much as digits as its factorization.

1001572617841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94080, while the sum is 43.

The spelling of 1001572617841 in words is "one trillion, one billion, five hundred seventy-two million, six hundred seventeen thousand, eight hundred forty-one".