9010557705001 has 16 divisors (see below), whose sum is σ = 9161924512000. Its totient is φ = 8860493199168.

The previous prime is 9010557704959. The next prime is 9010557705007. The reversal of 9010557705001 is 1005077550109.

It is a cyclic number.

It is not a de Polignac number, because 9010557705001 - 2¹³ = 9010557696809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9010557705007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24869020 + ... + 25228738.

It is an arithmetic number, because the mean of its divisors is an integer number (572620282000).

Almost surely, 2^{9010557705001} is an apocalyptic number.

It is an amenable number.

9010557705001 is a deficient number, since it is larger than the sum of its proper divisors (151366806999).

9010557705001 is a wasteful number, since it uses less digits than its factorization.

9010557705001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361528.

The product of its (nonzero) digits is 55125, while the sum is 40.

The spelling of 9010557705001 in words is "nine trillion, ten billion, five hundred fifty-seven million, seven hundred five thousand, one".