125838452947001 has 2 divisors, whose sum is σ = 125838452947002. Its totient is φ = 125838452947000.

The previous prime is 125838452946991. The next prime is 125838452947007. The reversal of 125838452947001 is 100749254838521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114674006874025 + 11164446072976 = 10708595^2 + 3341324^2 .

It is a cyclic number.

It is not a de Polignac number, because 125838452947001 - 2¹⁰ = 125838452945977 is a prime.

It is not a weakly prime, because it can be changed into another prime (125838452947007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62919226473500 + 62919226473501.

It is an arithmetic number, because the mean of its divisors is an integer number (62919226473501).

Almost surely, 2^{125838452947001} is an apocalyptic number.

It is an amenable number.

125838452947001 is a deficient number, since it is larger than the sum of its proper divisors (1).

125838452947001 is an equidigital number, since it uses as much as digits as its factorization.

125838452947001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19353600, while the sum is 59.

The spelling of 125838452947001 in words is "one hundred twenty-five trillion, eight hundred thirty-eight billion, four hundred fifty-two million, nine hundred forty-seven thousand, one".