41251641025 has 45 divisors (see below), whose sum is σ = 59745893001. Its totient is φ = 28252717920.

The previous prime is 41251641001. The next prime is 41251641037. The reversal of 41251641025 is 52014615214.

It is a happy number.

The square root of 41251641025 is 203105.

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

It can be written as a sum of positive squares in 4 ways, for example, as 178944129 + 41072696896 = 13377^2 + 202664^2 .

It is not a de Polignac number, because 41251641025 - 2²¹ = 41249543873 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49760311 + ... + 49761139.

Almost surely, 2^41251641025 is an apocalyptic number.

41251641025 is the 203105-th square number.

41251641025 is the 101553-rd centered octagonal number.

It is an amenable number.

41251641025 is a deficient number, since it is larger than the sum of its proper divisors (18494251976).

41251641025 is an frugal number, since it uses more digits than its factorization.

41251641025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

It can be divided in two parts, 41251 and 641025, that added together give a square (682276 = 826²).

The spelling of 41251641025 in words is "forty-one billion, two hundred fifty-one million, six hundred forty-one thousand, twenty-five".