1001000954521 has 2 divisors, whose sum is σ = 1001000954522. Its totient is φ = 1001000954520.

The previous prime is 1001000954519. The next prime is 1001000954531. The reversal of 1001000954521 is 1254590001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 992016000000 + 8984954521 = 996000^2 + 94789^2 .

It is an emirp because it is prime and its reverse (1254590001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001000954521 - 2¹ = 1001000954519 is a prime.

It is a super-2 number, since 2×1001000954521² (a number of 25 digits) contains 22 as substring.

Together with 1001000954519, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1001000954521.

It is not a weakly prime, because it can be changed into another prime (1001000954531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500477260 + 500500477261.

It is an arithmetic number, because the mean of its divisors is an integer number (500500477261).

Almost surely, 2^{1001000954521} is an apocalyptic number.

It is an amenable number.

1001000954521 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000954521 is an equidigital number, since it uses as much as digits as its factorization.

1001000954521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 1001000954521 its reverse (1254590001001), we get a palindrome (2255590955522).

The spelling of 1001000954521 in words is "one trillion, one billion, nine hundred fifty-four thousand, five hundred twenty-one".