42005601 has 32 divisors (see below), whose sum is σ = 70243200. Its totient is φ = 24575040.

The previous prime is 42005591. The next prime is 42005617. The reversal of 42005601 is 10650024.

It is a happy number.

It is not a de Polignac number, because 42005601 - 2⁵ = 42005569 is a prime.

It is a super-3 number, since 3×42005601³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42005641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6175 + ... + 11051.

It is an arithmetic number, because the mean of its divisors is an integer number (2195100).

Almost surely, 2^42005601 is an apocalyptic number.

It is an amenable number.

42005601 is a deficient number, since it is larger than the sum of its proper divisors (28237599).

42005601 is a wasteful number, since it uses less digits than its factorization.

42005601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42005601 is about 6481.1728105336. The cubic root of 42005601 is about 347.6181155679.

Adding to 42005601 its reverse (10650024), we get a palindrome (52655625).

It can be divided in two parts, 4200 and 5601, that added together give a square (9801 = 99²).

The spelling of 42005601 in words is "forty-two million, five thousand, six hundred one".