2500006001 has 2 divisors, whose sum is σ = 2500006002. Its totient is φ = 2500006000.

The previous prime is 2500005983. The next prime is 2500006013. The reversal of 2500006001 is 1006000052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1778814976 + 721191025 = 42176^2 + 26855^2 .

It is a cyclic number.

It is not a de Polignac number, because 2500006001 - 2¹⁰ = 2500004977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2500006021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1250003000 + 1250003001.

It is an arithmetic number, because the mean of its divisors is an integer number (1250003001).

Almost surely, 2^2500006001 is an apocalyptic number.

It is an amenable number.

2500006001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2500006001 is an equidigital number, since it uses as much as digits as its factorization.

2500006001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2500006001 is about 50000.0600099640. The cubic root of 2500006001 is about 1357.2098942446.

Adding to 2500006001 its reverse (1006000052), we get a palindrome (3506006053).

The spelling of 2500006001 in words is "two billion, five hundred million, six thousand, one".