42513952 has 24 divisors (see below), whose sum is σ = 90138636. Its totient is φ = 19621632.

The previous prime is 42513941. The next prime is 42513953. The reversal of 42513952 is 25931524.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 55696 = 6516^2 + 236^2 .

It is a super-2 number, since 2×42513952² = 3614872229316608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42513953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50683 + ... + 51514.

Almost surely, 2^42513952 is an apocalyptic number.

It is an amenable number.

42513952 is an abundant number, since it is smaller than the sum of its proper divisors (47624684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42513952 is a wasteful number, since it uses less digits than its factorization.

42513952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102220 (or 102212 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 42513952 is about 6520.2723869483. The cubic root of 42513952 is about 349.0147857875.

The spelling of 42513952 in words is "forty-two million, five hundred thirteen thousand, nine hundred fifty-two".