65006541 has 12 divisors (see below), whose sum is σ = 95438460. Its totient is φ = 42626880.

The previous prime is 65006537. The next prime is 65006561. The reversal of 65006541 is 14560056.

It is a happy number.

65006541 is a `hidden beast` number, since 6 + 5 + 0 + 0 + 654 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28355625 + 36650916 = 5325^2 + 6054^2 .

It is not a de Polignac number, because 65006541 - 2² = 65006537 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65006561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58656 + ... + 59753.

It is an arithmetic number, because the mean of its divisors is an integer number (7953205).

Almost surely, 2^65006541 is an apocalyptic number.

65006541 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

65006541 is a deficient number, since it is larger than the sum of its proper divisors (30431919).

65006541 is a wasteful number, since it uses less digits than its factorization.

65006541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118476 (or 118473 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 65006541 is about 8062.6633936932. The cubic root of 65006541 is about 402.0860623641.

Adding to 65006541 its reverse (14560056), we get a palindrome (79566597).

It can be divided in two parts, 6500 and 6541, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 65006541 in words is "sixty-five million, six thousand, five hundred forty-one".