42610835561 has 24 divisors (see below), whose sum is σ = 50336100360. Its totient is φ = 35961408000.

The previous prime is 42610835557. The next prime is 42610835569. The reversal of 42610835561 is 16553801624.

It can be written as a sum of positive squares in 4 ways, for example, as 4422250000 + 38188585561 = 66500^2 + 195419^2 .

It is not a de Polignac number, because 42610835561 - 2² = 42610835557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42610835569) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 871985 + ... + 919553.

It is an arithmetic number, because the mean of its divisors is an integer number (2097337515).

Almost surely, 2^42610835561 is an apocalyptic number.

It is an amenable number.

42610835561 is a deficient number, since it is larger than the sum of its proper divisors (7725264799).

42610835561 is a wasteful number, since it uses less digits than its factorization.

42610835561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47865 (or 47858 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 42610835561 in words is "forty-two billion, six hundred ten million, eight hundred thirty-five thousand, five hundred sixty-one".