167890965025 has 81 divisors (see below), whose sum is σ = 253659605241. Its totient is φ = 109903442880.

The previous prime is 167890965019. The next prime is 167890965029. The reversal of 167890965025 is 520569098761.

The square root of 167890965025 is 409745.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6402720289 + 161488244736 = 80017^2 + 401856^2 .

It is a de Polignac number, because none of the positive numbers 2^k-167890965025 is a prime.

It is a super-2 number, since 2×167890965025² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (167890965029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 329844471 + ... + 329844979.

Almost surely, 2^167890965025 is an apocalyptic number.

167890965025 is the 409745-th square number.

167890965025 is the 204873-rd centered octagonal number.

It is an amenable number.

167890965025 is a deficient number, since it is larger than the sum of its proper divisors (85768640216).

167890965025 is an frugal number, since it uses more digits than its factorization.

167890965025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 167890965025 in words is "one hundred sixty-seven billion, eight hundred ninety million, nine hundred sixty-five thousand, twenty-five".