61605365535 has 128 divisors (see below), whose sum is σ = 126747279360. Its totient is φ = 27808437888.

The previous prime is 61605365467. The next prime is 61605365551. The reversal of 61605365535 is 53556350616.

61605365535 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 53 + 65 + 535 = 666.

It is not a de Polignac number, because 61605365535 - 2⁹ = 61605365023 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45065422 + ... + 45066788.

It is an arithmetic number, because the mean of its divisors is an integer number (990213120).

Almost surely, 2^61605365535 is an apocalyptic number.

61605365535 is an abundant number, since it is smaller than the sum of its proper divisors (65141913825).

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

61605365535 is a wasteful number, since it uses less digits than its factorization.

61605365535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 61605365535 in words is "sixty-one billion, six hundred five million, three hundred sixty-five thousand, five hundred thirty-five".