7311105025 has 45 divisors (see below), whose sum is σ = 10606493481. Its totient is φ = 4998964320.

The previous prime is 7311105023. The next prime is 7311105071. The reversal of 7311105025 is 5205011137.

The square root of 7311105025 is 85505.

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

It can be written as a sum of positive squares in 4 ways, for example, as 75220929 + 7235884096 = 8673^2 + 85064^2 .

It is not a de Polignac number, because 7311105025 - 2¹ = 7311105023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7311105023) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20948551 + ... + 20948899.

Almost surely, 2^7311105025 is an apocalyptic number.

7311105025 is the 85505-th square number.

7311105025 is the 42753-rd centered octagonal number.

It is an amenable number.

7311105025 is a deficient number, since it is larger than the sum of its proper divisors (3295388456).

7311105025 is an frugal number, since it uses more digits than its factorization.

7311105025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The cubic root of 7311105025 is about 1940.8605868507.

Multiplying 7311105025 by its sum of digits (25), we get a square (182777625625 = 427525²).

7311105025 divided by its sum of digits (25) gives a square (292444201 = 17101²).

The spelling of 7311105025 in words is "seven billion, three hundred eleven million, one hundred five thousand, twenty-five".