2501547001 has 2 divisors, whose sum is σ = 2501547002. Its totient is φ = 2501547000.

The previous prime is 2501546933. The next prime is 2501547031. The reversal of 2501547001 is 1007451052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2074711401 + 426835600 = 45549^2 + 20660^2 .

It is a cyclic number.

It is not a de Polignac number, because 2501547001 - 2¹⁵ = 2501514233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2501547031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1250773500 + 1250773501.

It is an arithmetic number, because the mean of its divisors is an integer number (1250773501).

Almost surely, 2^2501547001 is an apocalyptic number.

It is an amenable number.

2501547001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2501547001 is an equidigital number, since it uses as much as digits as its factorization.

2501547001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 2501547001 is about 50015.4676175281. The cubic root of 2501547001 is about 1357.4886976913.

Adding to 2501547001 its reverse (1007451052), we get a palindrome (3508998053).

The spelling of 2501547001 in words is "two billion, five hundred one million, five hundred forty-seven thousand, one".