42513017 has 2 divisors, whose sum is σ = 42513018. Its totient is φ = 42513016.

The previous prime is 42513007. The next prime is 42513067. The reversal of 42513017 is 71031524.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39891856 + 2621161 = 6316^2 + 1619^2 .

It is a cyclic number.

It is not a de Polignac number, because 42513017 - 2⁸ = 42512761 is a prime.

It is a super-3 number, since 3×42513017³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42512983 and 42513001.

It is not a weakly prime, because it can be changed into another prime (42513007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21256508 + 21256509.

It is an arithmetic number, because the mean of its divisors is an integer number (21256509).

Almost surely, 2^42513017 is an apocalyptic number.

It is an amenable number.

42513017 is a deficient number, since it is larger than the sum of its proper divisors (1).

42513017 is an equidigital number, since it uses as much as digits as its factorization.

42513017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 42513017 is about 6520.2006870955. The cubic root of 42513017 is about 349.0122271669.

The spelling of 42513017 in words is "forty-two million, five hundred thirteen thousand, seventeen".