41137980625 has 135 divisors (see below), whose sum is σ = 64163375991. Its totient is φ = 26286120000.

The previous prime is 41137980547. The next prime is 41137980629. The reversal of 41137980625 is 52608973114.

The square root of 41137980625 is 202825.

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 40707501121 + 430479504 = 201761^2 + 20748^2 .

It is not a de Polignac number, because 41137980625 - 2⁷ = 41137980497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41137980629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 674393095 + ... + 674393155.

It is a 1-persistent number, because it is pandigital, but 2⋅41137980625 = 82275961250 is not.

Almost surely, 2^41137980625 is an apocalyptic number.

41137980625 is the 202825-th square number.

41137980625 is the 101413-rd centered octagonal number.

It is an amenable number.

41137980625 is a deficient number, since it is larger than the sum of its proper divisors (23025395366).

41137980625 is an frugal number, since it uses more digits than its factorization.

41137980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 41137980625 in words is "forty-one billion, one hundred thirty-seven million, nine hundred eighty thousand, six hundred twenty-five".