2005012501 has 2 divisors, whose sum is σ = 2005012502. Its totient is φ = 2005012500.

The previous prime is 2005012489. The next prime is 2005012507. The reversal of 2005012501 is 1052105002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1221572401 + 783440100 = 34951^2 + 27990^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005012501 - 2¹⁵ = 2004979733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005012507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002506250 + 1002506251.

It is an arithmetic number, because the mean of its divisors is an integer number (1002506251).

Almost surely, 2^2005012501 is an apocalyptic number.

It is an amenable number.

2005012501 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005012501 is an equidigital number, since it uses as much as digits as its factorization.

2005012501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 2005012501 is about 44777.3659453077. The cubic root of 2005012501 is about 1260.9727310452.

Adding to 2005012501 its reverse (1052105002), we get a palindrome (3057117503).

The spelling of 2005012501 in words is "two billion, five million, twelve thousand, five hundred one".