125561065001 has 2 divisors, whose sum is σ = 125561065002. Its totient is φ = 125561065000.

The previous prime is 125561064991. The next prime is 125561065009. The reversal of 125561065001 is 100560165521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91991496601 + 33569568400 = 303301^2 + 183220^2 .

It is a cyclic number.

It is not a de Polignac number, because 125561065001 - 2²² = 125556870697 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 (125561065009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62780532500 + 62780532501.

It is an arithmetic number, because the mean of its divisors is an integer number (62780532501).

Almost surely, 2^125561065001 is an apocalyptic number.

It is an amenable number.

125561065001 is a deficient number, since it is larger than the sum of its proper divisors (1).

125561065001 is an equidigital number, since it uses as much as digits as its factorization.

125561065001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 125561065001 in words is "one hundred twenty-five billion, five hundred sixty-one million, sixty-five thousand, one".