42516403005661 has 8 divisors (see below), whose sum is σ = 45786948207224. Its totient is φ = 39245865327360.

The previous prime is 42516403005649. The next prime is 42516403005689. The reversal of 42516403005661 is 16650030461524.

It can be written as a sum of positive squares in 4 ways, for example, as 4634913823225 + 37881489182436 = 2152885^2 + 6154794^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42516403005661 - 2¹⁹ = 42516402481373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42516403005761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16535041 + ... + 18932521.

It is an arithmetic number, because the mean of its divisors is an integer number (5723368525903).

Almost surely, 2^{42516403005661} is an apocalyptic number.

It is an amenable number.

42516403005661 is a deficient number, since it is larger than the sum of its proper divisors (3270545201563).

42516403005661 is a wasteful number, since it uses less digits than its factorization.

42516403005661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761631.

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 42516403005661 in words is "forty-two trillion, five hundred sixteen billion, four hundred three million, five thousand, six hundred sixty-one".