125552697300901 has 32 divisors (see below), whose sum is σ = 137023498291680. Its totient is φ = 114348504121344.

The previous prime is 125552697300883. The next prime is 125552697300923. The reversal of 125552697300901 is 109003796255521.

It is a Cunningham number, because it is equal to 11205030²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 16793849880900 + 108758847420001 = 4098030^2 + 10428751^2 .

It is not a de Polignac number, because 125552697300901 - 2³⁷ = 125415258347429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125552697300991) 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 in 31 ways as a sum of consecutive naturals, for example, 1006993701 + ... + 1007118373.

It is an arithmetic number, because the mean of its divisors is an integer number (4281984321615).

Almost surely, 2^{125552697300901} is an apocalyptic number.

It is an amenable number.

125552697300901 is a deficient number, since it is larger than the sum of its proper divisors (11470800990779).

125552697300901 is a wasteful number, since it uses less digits than its factorization.

125552697300901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127225.

The product of its (nonzero) digits is 5103000, while the sum is 55.

The spelling of 125552697300901 in words is "one hundred twenty-five trillion, five hundred fifty-two billion, six hundred ninety-seven million, three hundred thousand, nine hundred one".