42263001 has 27 divisors (see below), whose sum is σ = 67443103. Its totient is φ = 25483920.

The previous prime is 42262949. The next prime is 42263009. The reversal of 42263001 is 10036224.

It is a happy number.

The square root of 42263001 is 6501.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41409225 + 853776 = 6435^2 + 924^2 .

It is not a de Polignac number, because 42263001 - 2⁷ = 42262873 is a prime.

It is a super-2 number, since 2×42263001² = 3572322507052002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42263009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 214435 + ... + 214631.

Almost surely, 2^42263001 is an apocalyptic number.

42263001 is the 6501-st square number.

42263001 is the 3251-st centered octagonal number.

It is an amenable number.

42263001 is a deficient number, since it is larger than the sum of its proper divisors (25180102).

42263001 is a wasteful number, since it uses less digits than its factorization.

42263001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The cubic root of 42263001 is about 348.3267096309.

Adding to 42263001 its reverse (10036224), we get a palindrome (52299225).

Multiplying 42263001 by its reverse (10036224), we get a square (424160944948224 = 20595168²).

It can be divided in two parts, 4226 and 3001, that added together give a palindrome (7227).

The spelling of 42263001 in words is "forty-two million, two hundred sixty-three thousand, one".