125416682683681 has 27 divisors (see below), whose sum is σ = 131396648959641. Its totient is φ = 119703791325888.

The previous prime is 125416682683603. The next prime is 125416682683687. The reversal of 125416682683681 is 186386286614521.

It is a happy number.

The square root of 125416682683681 is 11198959.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11483687560081 + 113932995123600 = 3388759^2 + 10673940^2 .

It is not a de Polignac number, because 125416682683681 - 2⁹ = 125416682683169 is a prime.

It is a super-2 number, since 2×125416682683681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125416682683687) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28904511010 + ... + 28904515348.

Almost surely, 2^{125416682683681} is an apocalyptic number.

125416682683681 is the 11198959-th square number.

125416682683681 is the 5599480-th centered octagonal number.

It is an amenable number.

125416682683681 is a deficient number, since it is larger than the sum of its proper divisors (5979966275960).

125416682683681 is an frugal number, since it uses more digits than its factorization.

125416682683681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8914 (or 4457 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 67.

The spelling of 125416682683681 in words is "one hundred twenty-five trillion, four hundred sixteen billion, six hundred eighty-two million, six hundred eighty-three thousand, six hundred eighty-one".