65725001 has 2 divisors, whose sum is σ = 65725002. Its totient is φ = 65725000.

The previous prime is 65724979. The next prime is 65725003. The reversal of 65725001 is 10052756.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34633225 + 31091776 = 5885^2 + 5576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-65725001 is a prime.

It is a Sophie Germain prime.

Together with 65725003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (65725003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32862500 + 32862501.

It is an arithmetic number, because the mean of its divisors is an integer number (32862501).

Almost surely, 2^65725001 is an apocalyptic number.

It is an amenable number.

65725001 is a deficient number, since it is larger than the sum of its proper divisors (1).

65725001 is an equidigital number, since it uses as much as digits as its factorization.

65725001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 65725001 is about 8107.0957191833. The cubic root of 65725001 is about 403.5619394030.

Adding to 65725001 its reverse (10052756), we get a palindrome (75777757).

The spelling of 65725001 in words is "sixty-five million, seven hundred twenty-five thousand, one".