125072537270201 has 2 divisors, whose sum is σ = 125072537270202. Its totient is φ = 125072537270200.

The previous prime is 125072537270123. The next prime is 125072537270209. The reversal of 125072537270201 is 102072735270521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124312242211600 + 760295058601 = 11149540^2 + 871949^2 .

It is a cyclic number.

It is not a de Polignac number, because 125072537270201 - 2¹⁸ = 125072537008057 is a prime.

It is not a weakly prime, because it can be changed into another prime (125072537270209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62536268635100 + 62536268635101.

It is an arithmetic number, because the mean of its divisors is an integer number (62536268635101).

Almost surely, 2^{125072537270201} is an apocalyptic number.

It is an amenable number.

125072537270201 is a deficient number, since it is larger than the sum of its proper divisors (1).

125072537270201 is an equidigital number, since it uses as much as digits as its factorization.

125072537270201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 411600, while the sum is 44.

The spelling of 125072537270201 in words is "one hundred twenty-five trillion, seventy-two billion, five hundred thirty-seven million, two hundred seventy thousand, two hundred one".