2601385120161 has 15 divisors (see below), whose sum is σ = 3886041431811. Its totient is φ = 1734247069488.

The previous prime is 2601385120151. The next prime is 2601385120189. The reversal of 2601385120161 is 1610215831062.

The square root of 2601385120161 is 1612881.

It is a perfect power (a square), and thus also a powerful number.

2601385120161 is a `hidden beast` number, since 2 + 6 + 0 + 138 + 512 + 0 + 1 + 6 + 1 = 666.

2601385120161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2440840657761 + 160544462400 = 1562319^2 + 400680^2 .

It is not a de Polignac number, because 2601385120161 - 2⁵ = 2601385120129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2601385120151) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14426325 + ... + 14605533.

Almost surely, 2^{2601385120161} is an apocalyptic number.

2601385120161 is the 1612881-st square number.

2601385120161 is the 806441-st centered octagonal number.

It is an amenable number.

2601385120161 is a deficient number, since it is larger than the sum of its proper divisors (1284656311650).

2601385120161 is an frugal number, since it uses more digits than its factorization.

2601385120161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358430 (or 179212 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 2601385120161 by its sum of digits (36), we get a square (93649864325796 = 9677286²).

The spelling of 2601385120161 in words is "two trillion, six hundred one billion, three hundred eighty-five million, one hundred twenty thousand, one hundred sixty-one".