7819601286025 has 27 divisors (see below), whose sum is σ = 10019734841109. Its totient is φ = 6053549304000.

The previous prime is 7819601286019. The next prime is 7819601286041. The reversal of 7819601286025 is 5206821069187.

It is a happy number.

The square root of 7819601286025 is 2796355.

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 3453490739449 + 4366110546576 = 1858357^2 + 2089524^2 .

It is not a de Polignac number, because 7819601286025 - 2³ = 7819601286017 is a prime.

It is a super-3 number, since 3×7819601286025³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 433426005 + ... + 433444045.

Almost surely, 2^{7819601286025} is an apocalyptic number.

7819601286025 is the 2796355-th square number.

7819601286025 is the 1398178-th centered octagonal number.

It is an amenable number.

7819601286025 is a deficient number, since it is larger than the sum of its proper divisors (2200133555084).

7819601286025 is an frugal number, since it uses more digits than its factorization.

7819601286025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36154 (or 18077 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 7819601286025 in words is "seven trillion, eight hundred nineteen billion, six hundred one million, two hundred eighty-six thousand, twenty-five".