41536478025 has 135 divisors (see below), whose sum is σ = 89640081399. Its totient is φ = 18958756320.

The previous prime is 41536478023. The next prime is 41536478069. The reversal of 41536478025 is 52087463514.

The square root of 41536478025 is 203805.

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

41536478025 is a `hidden beast` number, since 4 + 153 + 6 + 478 + 0 + 25 = 666.

41536478025 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 only one way, i.e., 14953132089 + 26583345936 = 122283^2 + 163044^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 41536478025 - 2¹ = 41536478023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41536478023) 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, 64198252 + ... + 64198898.

Almost surely, 2^41536478025 is an apocalyptic number.

41536478025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41536478025 is the 203805-th square number.

41536478025 is the 101903-rd centered octagonal number.

It is an amenable number.

41536478025 is an abundant number, since it is smaller than the sum of its proper divisors (48103603374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41536478025 is an frugal number, since it uses more digits than its factorization.

41536478025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 41536478025 in words is "forty-one billion, five hundred thirty-six million, four hundred seventy-eight thousand, twenty-five".