61135434305 has 16 divisors (see below), whose sum is σ = 81159055488. Its totient is φ = 43835904000.

The previous prime is 61135434277. The next prime is 61135434313. The reversal of 61135434305 is 50343453116.

It is not a de Polignac number, because 61135434305 - 2¹⁴ = 61135417921 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7823936 + ... + 7831745.

It is an arithmetic number, because the mean of its divisors is an integer number (5072440968).

Almost surely, 2^61135434305 is an apocalyptic number.

It is an amenable number.

61135434305 is a deficient number, since it is larger than the sum of its proper divisors (20023621183).

61135434305 is a wasteful number, since it uses less digits than its factorization.

61135434305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15655768.

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 61135434305 in words is "sixty-one billion, one hundred thirty-five million, four hundred thirty-four thousand, three hundred five".