41925625 has 45 divisors (see below), whose sum is σ = 62635419. Its totient is φ = 27972000.

The previous prime is 41925613. The next prime is 41925643. The reversal of 41925625 is 52652914.

It is a happy number.

The square root of 41925625 is 6475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 13920361 + 28005264 = 3731^2 + 5292^2 .

It is not a de Polignac number, because 41925625 - 2⁵ = 41925593 is a prime.

Its product of digits (21600) is a multiple of the sum of its prime factors (108).

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, 1133107 + ... + 1133143.

Almost surely, 2^41925625 is an apocalyptic number.

41925625 is the 6475-th square number.

41925625 is the 3238-th centered octagonal number.

It is an amenable number.

41925625 is a deficient number, since it is larger than the sum of its proper divisors (20709794).

41925625 is an frugal number, since it uses more digits than its factorization.

41925625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The cubic root of 41925625 is about 347.3973611266.

The spelling of 41925625 in words is "forty-one million, nine hundred twenty-five thousand, six hundred twenty-five".