2001115153305 has 36 divisors (see below), whose sum is σ = 3535279914348. Its totient is φ = 1047124341120.

The previous prime is 2001115153231. The next prime is 2001115153307. The reversal of 2001115153305 is 5033515111002.

2001115153305 is a `hidden beast` number, since 2 + 0 + 0 + 111 + 515 + 3 + 30 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 129617280576 + 1871497872729 = 360024^2 + 1368027^2 .

It is not a de Polignac number, because 2001115153305 - 2²³ = 2001106764697 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2001115153307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7789086 + ... + 8041895.

It is an arithmetic number, because the mean of its divisors is an integer number (98202219843).

Almost surely, 2^{2001115153305} is an apocalyptic number.

It is an amenable number.

2001115153305 is a deficient number, since it is larger than the sum of its proper divisors (1534164761043).

2001115153305 is a wasteful number, since it uses less digits than its factorization.

2001115153305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15831098 (or 15831042 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 2001115153305 in words is "two trillion, one billion, one hundred fifteen million, one hundred fifty-three thousand, three hundred five".