53559358101 has 12 divisors (see below), whose sum is σ = 78423292428. Its totient is φ = 35217111744.

The previous prime is 53559358079. The next prime is 53559358121. The reversal of 53559358101 is 10185395535.

53559358101 is a `hidden beast` number, since 5 + 3 + 5 + 593 + 58 + 1 + 0 + 1 = 666.

53559358101 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 2 ways, for example, as 45518649201 + 8040708900 = 213351^2 + 89670^2 .

It is not a de Polignac number, because 53559358101 - 2³⁰ = 52485616277 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53559358121) 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, 40759890 + ... + 40761203.

It is an arithmetic number, because the mean of its divisors is an integer number (6535274369).

Almost surely, 2^53559358101 is an apocalyptic number.

It is an amenable number.

53559358101 is a deficient number, since it is larger than the sum of its proper divisors (24863934327).

53559358101 is a wasteful number, since it uses less digits than its factorization.

53559358101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81521172 (or 81521169 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 53559358101 in words is "fifty-three billion, five hundred fifty-nine million, three hundred fifty-eight thousand, one hundred one".