2011345151125 has 8 divisors (see below), whose sum is σ = 2510158748760. Its totient is φ = 1609076120800.

The previous prime is 2011345151017. The next prime is 2011345151141. The reversal of 2011345151125 is 5211515431102.

It can be written as a sum of positive squares in 4 ways, for example, as 283652964 + 2011061498161 = 16842^2 + 1418119^2 .

It is not a de Polignac number, because 2011345151125 - 2³³ = 2002755216533 is a prime.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 8045380480 + ... + 8045380729.

It is an arithmetic number, because the mean of its divisors is an integer number (313769843595).

Almost surely, 2^{2011345151125} is an apocalyptic number.

2011345151125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2011345151125 is a deficient number, since it is larger than the sum of its proper divisors (498813597635).

2011345151125 is an equidigital number, since it uses as much as digits as its factorization.

2011345151125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16090761224 (or 16090761214 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 31.

The spelling of 2011345151125 in words is "two trillion, eleven billion, three hundred forty-five million, one hundred fifty-one thousand, one hundred twenty-five".