42205088013 has 8 divisors (see below), whose sum is σ = 61389218976. Its totient is φ = 25578841200.

The previous prime is 42205087979. The next prime is 42205088041. The reversal of 42205088013 is 31088050224.

42205088013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 42205088013 - 2¹⁸ = 42204825869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 1278942061 = 42205088013 / (4 + 2 + 2 + 0 + 5 + 0 + 8 + 8 + 0 + 1 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42205088213) 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, 639470998 + ... + 639471063.

It is an arithmetic number, because the mean of its divisors is an integer number (7673652372).

Almost surely, 2^42205088013 is an apocalyptic number.

It is an amenable number.

42205088013 is a deficient number, since it is larger than the sum of its proper divisors (19184130963).

42205088013 is a wasteful number, since it uses less digits than its factorization.

42205088013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278942075.

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 42205088013 in words is "forty-two billion, two hundred five million, eighty-eight thousand, thirteen".