167510936961 has 27 divisors (see below), whose sum is σ = 243435892323. Its totient is φ = 110997007200.

The previous prime is 167510936947. The next prime is 167510936963. The reversal of 167510936961 is 169639015761.

It is a happy number.

The square root of 167510936961 is 409281.

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

167510936961 is a `hidden beast` number, since 1 + 6 + 7 + 510 + 9 + 3 + 69 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140798303361 + 26712633600 = 375231^2 + 163440^2 .

It is not a de Polignac number, because 167510936961 - 2⁷ = 167510936833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 167510936898 and 167510936907.

It is not an unprimeable number, because it can be changed into a prime (167510936963) 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, 278720061 + ... + 278720661.

Almost surely, 2^167510936961 is an apocalyptic number.

167510936961 is the 409281-st square number.

167510936961 is the 204641-st centered octagonal number.

It is an amenable number.

167510936961 is a deficient number, since it is larger than the sum of its proper divisors (75924955362).

167510936961 is an frugal number, since it uses more digits than its factorization.

167510936961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 167510936961 in words is "one hundred sixty-seven billion, five hundred ten million, nine hundred thirty-six thousand, nine hundred sixty-one".