41827198086025 has 81 divisors (see below), whose sum is σ = 60568951080127. Its totient is φ = 28626242444800.

The previous prime is 41827198086007. The next prime is 41827198086029. The reversal of 41827198086025 is 52068089172814.

It is a happy number.

The square root of 41827198086025 is 6467395.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8999982000009 + 32827216086016 = 2999997^2 + 5729504^2 .

It is not a de Polignac number, because 41827198086025 - 2⁹ = 41827198085513 is a prime.

It is a super-3 number, since 3×41827198086025³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41827198086029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6047010867 + ... + 6047017783.

Almost surely, 2^{41827198086025} is an apocalyptic number.

41827198086025 is the 6467395-th square number.

41827198086025 is the 3233698-th centered octagonal number.

It is an amenable number.

41827198086025 is a deficient number, since it is larger than the sum of its proper divisors (18741752994102).

41827198086025 is an frugal number, since it uses more digits than its factorization.

41827198086025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13900 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 61.

The spelling of 41827198086025 in words is "forty-one trillion, eight hundred twenty-seven billion, one hundred ninety-eight million, eighty-six thousand, twenty-five".