2725632001 has 2 divisors, whose sum is σ = 2725632002. Its totient is φ = 2725632000.

The previous prime is 2725631999. The next prime is 2725632011. The reversal of 2725632001 is 1002365272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1415264400 + 1310367601 = 37620^2 + 36199^2 .

It is a cyclic number.

It is not a de Polignac number, because 2725632001 - 2¹ = 2725631999 is a prime.

Together with 2725631999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2725632011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1362816000 + 1362816001.

It is an arithmetic number, because the mean of its divisors is an integer number (1362816001).

Almost surely, 2^2725632001 is an apocalyptic number.

It is an amenable number.

2725632001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2725632001 is an equidigital number, since it uses as much as digits as its factorization.

2725632001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2725632001 is about 52207.5856653035. The cubic root of 2725632001 is about 1396.8691944773.

Adding to 2725632001 its reverse (1002365272), we get a palindrome (3727997273).

The spelling of 2725632001 in words is "two billion, seven hundred twenty-five million, six hundred thirty-two thousand, one".