42052461 has 48 divisors (see below), whose sum is σ = 65985024. Its totient is φ = 23760000.

The previous prime is 42052459. The next prime is 42052477. The reversal of 42052461 is 16425024.

42052461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42052461 - 2¹ = 42052459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42052061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416311 + ... + 416411.

It is an arithmetic number, because the mean of its divisors is an integer number (1374688).

Almost surely, 2^42052461 is an apocalyptic number.

It is an amenable number.

42052461 is a deficient number, since it is larger than the sum of its proper divisors (23932563).

42052461 is a wasteful number, since it uses less digits than its factorization.

42052461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42052461 is about 6484.7868893280. The cubic root of 42052461 is about 347.7473311246.

Adding to 42052461 its reverse (16425024), we get a palindrome (58477485).

It can be divided in two parts, 4205 and 2461, that added together give a palindrome (6666).

The spelling of 42052461 in words is "forty-two million, fifty-two thousand, four hundred sixty-one".