126510013 has 6 divisors (see below), whose sum is σ = 147164766. Its totient is φ = 108437112.

The previous prime is 126509989. The next prime is 126510023. The reversal of 126510013 is 310015621.

It can be written as a sum of positive squares in only one way, i.e., 126382564 + 127449 = 11242^2 + 357^2 .

It is not a de Polignac number, because 126510013 - 2¹³ = 126501821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126510023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1290870 + ... + 1290967.

It is an arithmetic number, because the mean of its divisors is an integer number (24527461).

Almost surely, 2^126510013 is an apocalyptic number.

It is an amenable number.

126510013 is a deficient number, since it is larger than the sum of its proper divisors (20654753).

126510013 is an equidigital number, since it uses as much as digits as its factorization.

126510013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581851 (or 2581844 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 126510013 is about 11247.6670025388. The cubic root of 126510013 is about 502.0052974791.

Adding to 126510013 its reverse (310015621), we get a palindrome (436525634).

The spelling of 126510013 in words is "one hundred twenty-six million, five hundred ten thousand, thirteen".