125265562521 has 32 divisors (see below), whose sum is σ = 182933078400. Its totient is φ = 75615521280.

The previous prime is 125265562519. The next prime is 125265562547.

It is a happy number.

125265562521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 125265562521 - 2¹ = 125265562519 is a prime.

It is a super-2 number, since 2×125265562521² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125265562501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9130615 + ... + 9144323.

It is an arithmetic number, because the mean of its divisors is an integer number (5716658700).

Almost surely, 2^125265562521 is an apocalyptic number.

125265562521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125265562521 is a deficient number, since it is larger than the sum of its proper divisors (57667515879).

125265562521 is a wasteful number, since it uses less digits than its factorization.

125265562521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14809.

The product of its digits is 360000, while the sum is 42.

It can be divided in two parts, 125265 and 562521, that added together give a palindrome (687786).

The spelling of 125265562521 in words is "one hundred twenty-five billion, two hundred sixty-five million, five hundred sixty-two thousand, five hundred twenty-one".