4126525006601 has 2 divisors, whose sum is σ = 4126525006602. Its totient is φ = 4126525006600.

The previous prime is 4126525006543. The next prime is 4126525006603. The reversal of 4126525006601 is 1066005256214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2894680293376 + 1231844713225 = 1701376^2 + 1109885^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4126525006601 is a prime.

Together with 4126525006603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4126525006603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2063262503300 + 2063262503301.

It is an arithmetic number, because the mean of its divisors is an integer number (2063262503301).

Almost surely, 2^{4126525006601} is an apocalyptic number.

It is an amenable number.

4126525006601 is a deficient number, since it is larger than the sum of its proper divisors (1).

4126525006601 is an equidigital number, since it uses as much as digits as its factorization.

4126525006601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 4126525006601 in words is "four trillion, one hundred twenty-six billion, five hundred twenty-five million, six thousand, six hundred one".