6252705292681 has 27 divisors (see below), whose sum is σ = 6476574076903. Its totient is φ = 6036506017280.

The previous prime is 6252705292567. The next prime is 6252705292721. The reversal of 6252705292681 is 1862925072526.

The square root of 6252705292681 is 2500541.

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

6252705292681 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5643993252681 + 608712040000 = 2375709^2 + 780200^2 .

It is not a de Polignac number, because 6252705292681 - 2¹¹ = 6252705290633 is a prime.

It is a super-3 number, since 3×6252705292681³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6252705292181) 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, 9754610121 + ... + 9754610761.

Almost surely, 2^{6252705292681} is an apocalyptic number.

6252705292681 is the 2500541-st square number.

6252705292681 is the 1250271-st centered octagonal number.

It is an amenable number.

6252705292681 is a deficient number, since it is larger than the sum of its proper divisors (223868784222).

6252705292681 is an frugal number, since it uses more digits than its factorization.

6252705292681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 6252705292681 in words is "six trillion, two hundred fifty-two billion, seven hundred five million, two hundred ninety-two thousand, six hundred eighty-one".