8041605625 has 45 divisors (see below), whose sum is σ = 10725497211. Its totient is φ = 6026160000.

The previous prime is 8041605617. The next prime is 8041605673. The reversal of 8041605625 is 5265061408.

The square root of 8041605625 is 89675.

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 3927152889 + 4114452736 = 62667^2 + 64144^2 .

It is not a de Polignac number, because 8041605625 - 2³ = 8041605617 is a prime.

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, 38111770 + ... + 38111980.

Almost surely, 2^8041605625 is an apocalyptic number.

8041605625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8041605625 is the 89675-th square number.

8041605625 is the 44838-th centered octagonal number.

It is an amenable number.

8041605625 is a deficient number, since it is larger than the sum of its proper divisors (2683891586).

8041605625 is an frugal number, since it uses more digits than its factorization.

8041605625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The cubic root of 8041605625 is about 2003.4611422087.

Multiplying 8041605625 by its product of nonzero digits (57600), we get a square (463196484000000 = 21522000²).

The spelling of 8041605625 in words is "eight billion, forty-one million, six hundred five thousand, six hundred twenty-five".