2015641791289 has 27 divisors (see below), whose sum is σ = 2364814734543. Its totient is φ = 1713015764208.

The previous prime is 2015641791287. The next prime is 2015641791301. The reversal of 2015641791289 is 9821971465102.

The square root of 2015641791289 is 1419733.

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

It can be written as a sum of positive squares in only one way, i.e., 404031853225 + 1611609938064 = 635635^2 + 1269492^2 .

It is not a de Polignac number, because 2015641791289 - 2¹ = 2015641791287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2015641791287) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1262141839 + ... + 1262143435.

It is an arithmetic number, because the mean of its divisors is an integer number (87585730909).

Almost surely, 2^{2015641791289} is an apocalyptic number.

2015641791289 is the 1419733-rd square number.

2015641791289 is the 709867-th centered octagonal number.

It is an amenable number.

2015641791289 is a deficient number, since it is larger than the sum of its proper divisors (349172943254).

2015641791289 is an frugal number, since it uses more digits than its factorization.

2015641791289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 55.

The spelling of 2015641791289 in words is "two trillion, fifteen billion, six hundred forty-one million, seven hundred ninety-one thousand, two hundred eighty-nine".