125316628749081 has 567 divisors, whose sum is σ = 248430687323637. Its totient is φ = 60821012941920.

The previous prime is 125316628749073. The next prime is 125316628749089. The reversal of 125316628749081 is 180947826613521.

It is a happy number.

The square root of 125316628749081 is 11194491.

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

125316628749081 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 1 + 6 + 62 + 8 + 7 + 490 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (125316628749073) and next prime (125316628749089).

It is not a de Polignac number, because 125316628749081 - 2³ = 125316628749073 is a prime.

It is a super-2 number, since 2×125316628749081² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (125316628749089) 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 566 ways as a sum of consecutive naturals, for example, 2914340203446 + ... + 2914340203488.

It is a 2-persistent number, because it is pandigital, and so is 2⋅125316628749081 = 250633257498162, but 3⋅125316628749081 = 375949886247243 is not.

Almost surely, 2^{125316628749081} is an apocalyptic number.

125316628749081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

125316628749081 is the 11194491-st square number.

125316628749081 is the 5597246-th centered octagonal number.

It is an amenable number.

125316628749081 is a deficient number, since it is larger than the sum of its proper divisors (123114058574556).

125316628749081 is an frugal number, since it uses more digits than its factorization.

125316628749081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 125316628749081 in words is "one hundred twenty-five trillion, three hundred sixteen billion, six hundred twenty-eight million, seven hundred forty-nine thousand, eighty-one".