867168825961 has 27 divisors (see below), whose sum is σ = 908256268101. Its totient is φ = 827905839264.

The previous prime is 867168825931. The next prime is 867168826003. The reversal of 867168825961 is 169528861768.

The square root of 867168825961 is 931219.

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

867168825961 is digitally balanced in base 2, 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 4 ways, for example, as 332012202025 + 535156623936 = 576205^2 + 731544^2 .

It is not a de Polignac number, because 867168825961 - 2⁹ = 867168825449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (867168825931) 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, 4401872115 + ... + 4401872311.

Almost surely, 2^867168825961 is an apocalyptic number.

867168825961 is the 931219-th square number.

867168825961 is the 465610-th centered octagonal number.

It is an amenable number.

867168825961 is a deficient number, since it is larger than the sum of its proper divisors (41087442140).

867168825961 is an frugal number, since it uses more digits than its factorization.

867168825961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 67.

The spelling of 867168825961 in words is "eight hundred sixty-seven billion, one hundred sixty-eight million, eight hundred twenty-five thousand, nine hundred sixty-one".