125714417521 has 16 divisors (see below), whose sum is σ = 161790824448. Its totient is φ = 94799307600.

The previous prime is 125714417513. The next prime is 125714417537.

It is a happy number.

125714417521 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 125714417521 - 2³ = 125714417513 is a prime.

It is a super-2 number, since 2×125714417521² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125714417321) 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 15 ways as a sum of consecutive naturals, for example, 26330755 + ... + 26335528.

It is an arithmetic number, because the mean of its divisors is an integer number (10111926528).

Almost surely, 2^125714417521 is an apocalyptic number.

125714417521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125714417521 is a deficient number, since it is larger than the sum of its proper divisors (36076406927).

125714417521 is a wasteful number, since it uses less digits than its factorization.

125714417521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52666332.

The product of its digits is 78400, while the sum is 40.

The spelling of 125714417521 in words is "one hundred twenty-five billion, seven hundred fourteen million, four hundred seventeen thousand, five hundred twenty-one".