42057567 has 24 divisors (see below), whose sum is σ = 63595584. Its totient is φ = 26754624.

The previous prime is 42057539. The next prime is 42057571. The reversal of 42057567 is 76575024.

42057567 is a `hidden beast` number, since 4 + 20 + 575 + 67 = 666.

It is not a de Polignac number, because 42057567 - 2¹⁰ = 42056543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42055567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16458 + ... + 18840.

It is an arithmetic number, because the mean of its divisors is an integer number (2649816).

Almost surely, 2^42057567 is an apocalyptic number.

42057567 is a deficient number, since it is larger than the sum of its proper divisors (21538017).

42057567 is a wasteful number, since it uses less digits than its factorization.

42057567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 42057567 is about 6485.1805680336. The cubic root of 42057567 is about 347.7614050216.

It can be divided in two parts, 42057 and 567, that added together give a palindrome (42624).

The spelling of 42057567 in words is "forty-two million, fifty-seven thousand, five hundred sixty-seven".