125774477521 has 48 divisors (see below), whose sum is σ = 162790318080. Its totient is φ = 94401236160.

The previous prime is 125774477519. The next prime is 125774477531.

125774477521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 125774477521 - 2¹ = 125774477519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125774477531) 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 47 ways as a sum of consecutive naturals, for example, 30239440 + ... + 30243598.

It is an arithmetic number, because the mean of its divisors is an integer number (3391464960).

Almost surely, 2^125774477521 is an apocalyptic number.

125774477521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125774477521 is a deficient number, since it is larger than the sum of its proper divisors (37015840559).

125774477521 is a wasteful number, since it uses less digits than its factorization.

125774477521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4673 counting only the distinct ones).

The product of its digits is 3841600, while the sum is 52.

The spelling of 125774477521 in words is "one hundred twenty-five billion, seven hundred seventy-four million, four hundred seventy-seven thousand, five hundred twenty-one".