42005253 has 8 divisors (see below), whose sum is σ = 57938400. Its totient is φ = 27037808.

The previous prime is 42005237. The next prime is 42005269. The reversal of 42005253 is 35250024.

It is an interprime number because it is at equal distance from previous prime (42005237) and next prime (42005269).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42005253 - 2⁴ = 42005237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42005273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241323 + ... + 241496.

It is an arithmetic number, because the mean of its divisors is an integer number (7242300).

Almost surely, 2^42005253 is an apocalyptic number.

It is an amenable number.

42005253 is a deficient number, since it is larger than the sum of its proper divisors (15933147).

42005253 is a wasteful number, since it uses less digits than its factorization.

42005253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482851.

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 42005253 is about 6481.1459634852. The cubic root of 42005253 is about 347.6171556051.

Adding to 42005253 its reverse (35250024), we get a palindrome (77255277).

It can be divided in two parts, 4200 and 5253, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 42005253 in words is "forty-two million, five thousand, two hundred fifty-three".