42106513 has 2 divisors, whose sum is σ = 42106514. Its totient is φ = 42106512.

The previous prime is 42106499. The next prime is 42106541. The reversal of 42106513 is 31560124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38526849 + 3579664 = 6207^2 + 1892^2 .

It is a cyclic number.

It is not a de Polignac number, because 42106513 - 2¹³ = 42098321 is a prime.

It is not a weakly prime, because it can be changed into another prime (42106013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21053256 + 21053257.

It is an arithmetic number, because the mean of its divisors is an integer number (21053257).

Almost surely, 2^42106513 is an apocalyptic number.

It is an amenable number.

42106513 is a deficient number, since it is larger than the sum of its proper divisors (1).

42106513 is an equidigital number, since it uses as much as digits as its factorization.

42106513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 42106513 is about 6488.9531513180. The cubic root of 42106513 is about 347.8962593183.

Adding to 42106513 its reverse (31560124), we get a palindrome (73666637).

The spelling of 42106513 in words is "forty-two million, one hundred six thousand, five hundred thirteen".