2001107305257 has 16 divisors (see below), whose sum is σ = 2669613023232. Its totient is φ = 1333336722320.

The previous prime is 2001107305231. The next prime is 2001107305273. The reversal of 2001107305257 is 7525037011002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2001107305257 - 2⁶ = 2001107305193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2001107306257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72366808 + ... + 72394454.

It is an arithmetic number, because the mean of its divisors is an integer number (166850813952).

Almost surely, 2^{2001107305257} is an apocalyptic number.

It is an amenable number.

2001107305257 is a deficient number, since it is larger than the sum of its proper divisors (668505717975).

2001107305257 is a wasteful number, since it uses less digits than its factorization.

2001107305257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40068.

The product of its (nonzero) digits is 14700, while the sum is 33.

The spelling of 2001107305257 in words is "two trillion, one billion, one hundred seven million, three hundred five thousand, two hundred fifty-seven".