7841596081225 has 27 divisors (see below), whose sum is σ = 9762992782023. Its totient is φ = 6247951087440.

The previous prime is 7841596081181. The next prime is 7841596081229. The reversal of 7841596081225 is 5221806951487.

The square root of 7841596081225 is 2800285.

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., 2822974589241 + 5018621491984 = 1680171^2 + 2240228^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7841596081225 is a prime.

It is a super-2 number, since 2×7841596081225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7841596081225.

It is not an unprimeable number, because it can be changed into a prime (7841596081229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3962402286 + ... + 3962404264.

Almost surely, 2^{7841596081225} is an apocalyptic number.

7841596081225 is the 2800285-th square number.

7841596081225 is the 1400143-rd centered octagonal number.

It is an amenable number.

7841596081225 is a deficient number, since it is larger than the sum of its proper divisors (1921396700798).

7841596081225 is an frugal number, since it uses more digits than its factorization.

7841596081225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 58.

The spelling of 7841596081225 in words is "seven trillion, eight hundred forty-one billion, five hundred ninety-six million, eighty-one thousand, two hundred twenty-five".