6125026064641 has 27 divisors (see below), whose sum is σ = 6880195648417. Its totient is φ = 5448594611240.

The previous prime is 6125026064459. The next prime is 6125026064683. The reversal of 6125026064641 is 1464606205216.

The square root of 6125026064641 is 2474879.

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

It is not a de Polignac number, because 6125026064641 - 2¹¹ = 6125026062593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6125026064141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1279510050 + ... + 1279514836.

Almost surely, 2^{6125026064641} is an apocalyptic number.

6125026064641 is the 2474879-th square number.

6125026064641 is the 1237440-th centered octagonal number.

It is an amenable number.

6125026064641 is a deficient number, since it is larger than the sum of its proper divisors (755169583776).

6125026064641 is an frugal number, since it uses more digits than its factorization.

6125026064641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 6125026064641 in words is "six trillion, one hundred twenty-five billion, twenty-six million, sixty-four thousand, six hundred forty-one".