125545444545521 has 192 divisors, whose sum is σ = 175172016434688. Its totient is φ = 87514352640000.

The previous prime is 125545444545511. The next prime is 125545444545593.

125545444545521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 125545444545521 - 2¹⁰ = 125545444544497 is a prime.

It is a super-2 number, since 2×125545444545521² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (125545444545511) 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 191 ways as a sum of consecutive naturals, for example, 27525857081 + ... + 27525861641.

It is an arithmetic number, because the mean of its divisors is an integer number (912354252264).

Almost surely, 2^{125545444545521} is an apocalyptic number.

125545444545521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125545444545521 is a deficient number, since it is larger than the sum of its proper divisors (49626571889167).

125545444545521 is a wasteful number, since it uses less digits than its factorization.

125545444545521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224 (or 5213 counting only the distinct ones).

The product of its digits is 64000000, while the sum is 56.

The spelling of 125545444545521 in words is "one hundred twenty-five trillion, five hundred forty-five billion, four hundred forty-four million, five hundred forty-five thousand, five hundred twenty-one".