65125601 has 2 divisors, whose sum is σ = 65125602. Its totient is φ = 65125600.

The previous prime is 65125591. The next prime is 65125603. The reversal of 65125601 is 10652156.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59598400 + 5527201 = 7720^2 + 2351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-65125601 is a prime.

It is a super-2 number, since 2×65125601² = 8482687811222402, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 65125603, 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 (65125603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32562800 + 32562801.

It is an arithmetic number, because the mean of its divisors is an integer number (32562801).

Almost surely, 2^65125601 is an apocalyptic number.

It is an amenable number.

65125601 is a deficient number, since it is larger than the sum of its proper divisors (1).

65125601 is an equidigital number, since it uses as much as digits as its factorization.

65125601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 65125601 is about 8070.0434323490. The cubic root of 65125601 is about 402.3313872670.

Adding to 65125601 its reverse (10652156), we get a palindrome (75777757).

The spelling of 65125601 in words is "sixty-five million, one hundred twenty-five thousand, six hundred one".