167803136593225 has 135 divisors (see below), whose sum is σ = 249653338974207. Its totient is φ = 111876797773440.

The previous prime is 167803136593181. The next prime is 167803136593229. The reversal of 167803136593225 is 522395631308761.

The square root of 167803136593225 is 12953885.

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

167803136593225 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 13 ways, for example, as 118046421416889 + 49756715176336 = 10864917^2 + 7053844^2 .

It is not a de Polignac number, because 167803136593225 - 2¹³ = 167803136585033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (167803136593229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 117426966811 + ... + 117426968239.

Almost surely, 2^{167803136593225} is an apocalyptic number.

167803136593225 is the 12953885-th square number.

167803136593225 is the 6476943-rd centered octagonal number.

It is an amenable number.

167803136593225 is a deficient number, since it is larger than the sum of its proper divisors (81850202380982).

167803136593225 is an frugal number, since it uses more digits than its factorization.

167803136593225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 61.

The spelling of 167803136593225 in words is "one hundred sixty-seven trillion, eight hundred three billion, one hundred thirty-six million, five hundred ninety-three thousand, two hundred twenty-five".