120526562014681 has 9 divisors (see below), whose sum is σ = 123395173354719. Its totient is φ = 117723157616736.

The previous prime is 120526562014667. The next prime is 120526562014693. The reversal of 120526562014681 is 186410265625021.

The square root of 120526562014681 is 10978459.

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

It can be written as a sum of positive squares in only one way, i.e., 116215191499225 + 4311370515456 = 10780315^2 + 2076384^2 .

It is not a de Polignac number, because 120526562014681 - 2⁷ = 120526562014553 is a prime.

It is a super-2 number, since 2×120526562014681² (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 (120526562014631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 471946081 + ... + 472201393.

It is an arithmetic number, because the mean of its divisors is an integer number (13710574817191).

Almost surely, 2^{120526562014681} is an apocalyptic number.

120526562014681 is the 10978459-th square number.

120526562014681 is the 5489230-th centered octagonal number.

It is an amenable number.

120526562014681 is a deficient number, since it is larger than the sum of its proper divisors (2868611340038).

120526562014681 is an frugal number, since it uses more digits than its factorization.

120526562014681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510712 (or 255356 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 120526562014681 in words is "one hundred twenty trillion, five hundred twenty-six billion, five hundred sixty-two million, fourteen thousand, six hundred eighty-one".