42005125213 has 2 divisors, whose sum is σ = 42005125214. Its totient is φ = 42005125212.

The previous prime is 42005125153. The next prime is 42005125259. The reversal of 42005125213 is 31252150024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40577267844 + 1427857369 = 201438^2 + 37787^2 .

It is a cyclic number.

It is not a de Polignac number, because 42005125213 - 2²¹ = 42003028061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42005123213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21002562606 + 21002562607.

It is an arithmetic number, because the mean of its divisors is an integer number (21002562607).

Almost surely, 2^42005125213 is an apocalyptic number.

It is an amenable number.

42005125213 is a deficient number, since it is larger than the sum of its proper divisors (1).

42005125213 is an equidigital number, since it uses as much as digits as its factorization.

42005125213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 42005125213 its reverse (31252150024), we get a palindrome (73257275237).

The spelling of 42005125213 in words is "forty-two billion, five million, one hundred twenty-five thousand, two hundred thirteen".