6407125411601 has 2 divisors, whose sum is σ = 6407125411602. Its totient is φ = 6407125411600.

The previous prime is 6407125411591. The next prime is 6407125411619. The reversal of 6407125411601 is 1061145217046.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5141896380625 + 1265229030976 = 2267575^2 + 1124824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6407125411601 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (6407125411201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3203562705800 + 3203562705801.

It is an arithmetic number, because the mean of its divisors is an integer number (3203562705801).

Almost surely, 2^{6407125411601} is an apocalyptic number.

It is an amenable number.

6407125411601 is a deficient number, since it is larger than the sum of its proper divisors (1).

6407125411601 is an equidigital number, since it uses as much as digits as its factorization.

6407125411601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 6407125411601 in words is "six trillion, four hundred seven billion, one hundred twenty-five million, four hundred eleven thousand, six hundred one".