417051182025 has 135 divisors (see below), whose sum is σ = 785605430181. Its totient is φ = 218723016960.

The previous prime is 417051182011. The next prime is 417051182101. The reversal of 417051182025 is 520281150714.

It is a happy number.

The square root of 417051182025 is 645795.

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

417051182025 is a `hidden beast` number, since 41 + 7 + 0 + 511 + 82 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212179075641 + 204872106384 = 460629^2 + 452628^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 417051182025 - 2¹⁷ = 417051050953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3283867512 + ... + 3283867638.

Almost surely, 2^417051182025 is an apocalyptic number.

417051182025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

417051182025 is the 645795-th square number.

417051182025 is the 322898-th centered octagonal number.

It is an amenable number.

417051182025 is a deficient number, since it is larger than the sum of its proper divisors (368554248156).

417051182025 is an equidigital number, since it uses as much as digits as its factorization.

417051182025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

Multiplying 417051182025 by its sum of digits (36), we get a square (15013842552900 = 3874770²).

It can be divided in two parts, 417051 and 182025, that added together give a square (599076 = 774²).

The spelling of 417051182025 in words is "four hundred seventeen billion, fifty-one million, one hundred eighty-two thousand, twenty-five".