42509957 has 16 divisors (see below), whose sum is σ = 50960640. Its totient is φ = 34670592.

The previous prime is 42509941. The next prime is 42509981. The reversal of 42509957 is 75990524.

It is a cyclic number.

It is not a de Polignac number, because 42509957 - 2⁴ = 42509941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42509917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36293 + ... + 37445.

It is an arithmetic number, because the mean of its divisors is an integer number (3185040).

Almost surely, 2^42509957 is an apocalyptic number.

It is an amenable number.

42509957 is a deficient number, since it is larger than the sum of its proper divisors (8450683).

42509957 is a wasteful number, since it uses less digits than its factorization.

42509957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412.

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 42509957 is about 6519.9660275189. The cubic root of 42509957 is about 349.0038532373.

The spelling of 42509957 in words is "forty-two million, five hundred nine thousand, nine hundred fifty-seven".