4117265276025 has 192 divisors, whose sum is σ = 7642208010240. Its totient is φ = 1939086240000.

The previous prime is 4117265276021. The next prime is 4117265276053. The reversal of 4117265276025 is 5206725627114.

4117265276025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4117265276025 - 2² = 4117265276021 is a prime.

It is a super-2 number, since 2×4117265276025² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4117265276021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3993467260 + ... + 3993468290.

It is an arithmetic number, because the mean of its divisors is an integer number (39803166720).

Almost surely, 2^{4117265276025} is an apocalyptic number.

It is an amenable number.

4117265276025 is a deficient number, since it is larger than the sum of its proper divisors (3524942734215).

4117265276025 is a wasteful number, since it uses less digits than its factorization.

4117265276025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 4117265276025 in words is "four trillion, one hundred seventeen billion, two hundred sixty-five million, two hundred seventy-six thousand, twenty-five".