1001553512461 has 2 divisors, whose sum is σ = 1001553512462. Its totient is φ = 1001553512460.

The previous prime is 1001553512359. The next prime is 1001553512521. The reversal of 1001553512461 is 1642153551001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 643033987236 + 358519525225 = 801894^2 + 598765^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001553512461 - 2¹¹ = 1001553510413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001553518461) 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, 500776756230 + 500776756231.

It is an arithmetic number, because the mean of its divisors is an integer number (500776756231).

Almost surely, 2^{1001553512461} is an apocalyptic number.

It is an amenable number.

1001553512461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001553512461 is an equidigital number, since it uses as much as digits as its factorization.

1001553512461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 1001553512461 in words is "one trillion, one billion, five hundred fifty-three million, five hundred twelve thousand, four hundred sixty-one".