42038253 has 12 divisors (see below), whose sum is σ = 62363548. Its totient is φ = 27267840.

The previous prime is 42038239. The next prime is 42038303. The reversal of 42038253 is 35283024.

It can be written as a sum of positive squares in 2 ways, for example, as 19027044 + 23011209 = 4362^2 + 4797^2 .

It is not a de Polignac number, because 42038253 - 2⁵ = 42038221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42038453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62788 + ... + 63453.

Almost surely, 2^42038253 is an apocalyptic number.

It is an amenable number.

42038253 is a deficient number, since it is larger than the sum of its proper divisors (20325295).

42038253 is a wasteful number, since it uses less digits than its factorization.

42038253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126284 (or 126281 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42038253 is about 6483.6913097402. The cubic root of 42038253 is about 347.7081629800.

The spelling of 42038253 in words is "forty-two million, thirty-eight thousand, two hundred fifty-three".