125506886401 has 16 divisors (see below), whose sum is σ = 142114185360. Its totient is φ = 110023845120.

The previous prime is 125506886377. The next prime is 125506886429. The reversal of 125506886401 is 104688605521.

It can be written as a sum of positive squares in 8 ways, for example, as 46390698225 + 79116188176 = 215385^2 + 281276^2 .

It is a cyclic number.

It is not a de Polignac number, because 125506886401 - 2¹³ = 125506878209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125506886201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2705770 + ... + 2751763.

It is an arithmetic number, because the mean of its divisors is an integer number (8882136585).

Almost surely, 2^125506886401 is an apocalyptic number.

It is an amenable number.

125506886401 is a deficient number, since it is larger than the sum of its proper divisors (16607298959).

125506886401 is a wasteful number, since it uses less digits than its factorization.

125506886401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457636.

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 125506886401 in words is "one hundred twenty-five billion, five hundred six million, eight hundred eighty-six thousand, four hundred one".