3819659816025 has 189 divisors, whose sum is σ = 7353529263183. Its totient is φ = 1967215831200.

The previous prime is 3819659815981. The next prime is 3819659816051. The reversal of 3819659816025 is 5206189569183.

The square root of 3819659816025 is 1954395.

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

3819659816025 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 6 + 598 + 16 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1375077533769 + 2444582282256 = 1172637^2 + 1563516^2 .

It is not a de Polignac number, because 3819659816025 - 2⁷ = 3819659815897 is a prime.

It is a super-2 number, since 2×3819659816025² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 8179142842 + ... + 8179143308.

Almost surely, 2^{3819659816025} is an apocalyptic number.

3819659816025 is the 1954395-th square number.

3819659816025 is the 977198-th centered octagonal number.

It is an amenable number.

3819659816025 is a deficient number, since it is larger than the sum of its proper divisors (3533869447158).

3819659816025 is an frugal number, since it uses more digits than its factorization.

3819659816025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 3819659816025 in words is "three trillion, eight hundred nineteen billion, six hundred fifty-nine million, eight hundred sixteen thousand, twenty-five".