2641096271025 has 27 divisors (see below), whose sum is σ = 4730540539179. Its totient is φ = 1408571676720.

The previous prime is 2641096270997. The next prime is 2641096271053. The reversal of 2641096271025 is 5201726901462.

The square root of 2641096271025 is 1625145.

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

2641096271025 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 0 + 9 + 627 + 10 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2641096270997) and next prime (2641096271053).

It can be written as a sum of positive squares in only one way, i.e., 950794657569 + 1690301613456 = 975087^2 + 1300116^2 .

It is not a de Polignac number, because 2641096271025 - 2²⁹ = 2640559400113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24323004 + ... + 24431346.

Almost surely, 2^{2641096271025} is an apocalyptic number.

2641096271025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2641096271025 is the 1625145-th square number.

2641096271025 is the 812573-rd centered octagonal number.

It is an amenable number.

2641096271025 is a deficient number, since it is larger than the sum of its proper divisors (2089444268154).

2641096271025 is an frugal number, since it uses more digits than its factorization.

2641096271025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216702 (or 108351 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2641096271025 in words is "two trillion, six hundred forty-one billion, ninety-six million, two hundred seventy-one thousand, twenty-five".