32506306461 has 36 divisors (see below), whose sum is σ = 49433156604. Its totient is φ = 20575825920.

The previous prime is 32506306439. The next prime is 32506306487. The reversal of 32506306461 is 16460360523.

32506306461 is a `hidden beast` number, since 3 + 2 + 5 + 0 + 6 + 3 + 0 + 646 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20565280836 + 11941025625 = 143406^2 + 109275^2 .

It is not a de Polignac number, because 32506306461 - 2⁵ = 32506306429 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 (32506306411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 422941 + ... + 493853.

It is an arithmetic number, because the mean of its divisors is an integer number (1373143239).

Almost surely, 2^32506306461 is an apocalyptic number.

32506306461 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

32506306461 is a deficient number, since it is larger than the sum of its proper divisors (16926850143).

32506306461 is a wasteful number, since it uses less digits than its factorization.

32506306461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71034 (or 71000 counting only the distinct ones).

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

Adding to 32506306461 its reverse (16460360523), we get a palindrome (48966666984).

The spelling of 32506306461 in words is "thirty-two billion, five hundred six million, three hundred six thousand, four hundred sixty-one".