417675260781025 has 81 divisors (see below), whose sum is σ = 563691969237249. Its totient is φ = 306866565008640.

The previous prime is 417675260781019. The next prime is 417675260781043. The reversal of 417675260781025 is 520187062576714.

The square root of 417675260781025 is 20437105.

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

It can be written as a sum of positive squares in 40 ways, for example, as 258564888482209 + 159110372298816 = 16079953^2 + 12613896^2 .

It is not a de Polignac number, because 417675260781025 - 2⁵ = 417675260780993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 304206307239 + ... + 304206308611.

Almost surely, 2^{417675260781025} is an apocalyptic number.

417675260781025 is the 20437105-th square number.

417675260781025 is the 10218553-rd centered octagonal number.

It is an amenable number.

417675260781025 is a deficient number, since it is larger than the sum of its proper divisors (146016708456224).

417675260781025 is an frugal number, since it uses more digits than its factorization.

417675260781025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 61.

The spelling of 417675260781025 in words is "four hundred seventeen trillion, six hundred seventy-five billion, two hundred sixty million, seven hundred eighty-one thousand, twenty-five".