10570359961681 has 27 divisors (see below), whose sum is σ = 11492192323731. Its totient is φ = 9718045768704.

The previous prime is 10570359961621. The next prime is 10570359961703. The reversal of 10570359961681 is 18616995307501.

It is a happy number.

The square root of 10570359961681 is 3251209.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10565158667281 + 5201294400 = 3250409^2 + 72120^2 .

It is not a de Polignac number, because 10570359961681 - 2²⁷ = 10570225743953 is a prime.

It is a super-2 number, since 2×10570359961681² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10570359961621) 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, 18977306655 + ... + 18977307211.

Almost surely, 2^{10570359961681} is an apocalyptic number.

10570359961681 is the 3251209-th square number.

10570359961681 is the 1625605-th centered octagonal number.

It is an amenable number.

10570359961681 is a deficient number, since it is larger than the sum of its proper divisors (921832362050).

10570359961681 is an frugal number, since it uses more digits than its factorization.

10570359961681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 61.

The spelling of 10570359961681 in words is "ten trillion, five hundred seventy billion, three hundred fifty-nine million, nine hundred sixty-one thousand, six hundred eighty-one".