41036630625 has 135 divisors (see below), whose sum is σ = 77183319213. Its totient is φ = 21002976000.

The previous prime is 41036630581. The next prime is 41036630653. The reversal of 41036630625 is 52603663014.

The square root of 41036630625 is 202575.

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

41036630625 is a `hidden beast` number, since 4 + 10 + 3 + 6 + 630 + 6 + 2 + 5 = 666.

41036630625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 38733782481 + 2302848144 = 196809^2 + 47988^2 .

It is not a de Polignac number, because 41036630625 - 2⁹ = 41036630113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41036630625.

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, 562145589 + ... + 562145661.

Almost surely, 2^41036630625 is an apocalyptic number.

41036630625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41036630625 is the 202575-th square number.

41036630625 is the 101288-th centered octagonal number.

It is an amenable number.

41036630625 is a deficient number, since it is larger than the sum of its proper divisors (36146688588).

41036630625 is an frugal number, since it uses more digits than its factorization.

41036630625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Multiplying 41036630625 by its sum of digits (36), we get a square (1477318702500 = 1215450²).

The spelling of 41036630625 in words is "forty-one billion, thirty-six million, six hundred thirty thousand, six hundred twenty-five".