169106000625 has 45 divisors (see below), whose sum is σ = 305288252269. Its totient is φ = 90173418000.

The previous prime is 169106000597. The next prime is 169106000633. The reversal of 169106000625 is 526000601961.

The square root of 169106000625 is 411225.

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

169106000625 is a `hidden beast` number, since 16 + 9 + 10 + 6 + 0 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13257910449 + 155848090176 = 115143^2 + 394776^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 169106000625 - 2¹⁵ = 169105967857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 169106000625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30839134 + ... + 30844616.

Almost surely, 2^169106000625 is an apocalyptic number.

169106000625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

169106000625 is the 411225-th square number.

169106000625 is the 205613-rd centered octagonal number.

It is an amenable number.

169106000625 is a deficient number, since it is larger than the sum of its proper divisors (136182251644).

169106000625 is an frugal number, since it uses more digits than its factorization.

169106000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10992 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 169106000625 by its sum of digits (36), we get a square (6087816022500 = 2467350²).

The spelling of 169106000625 in words is "one hundred sixty-nine billion, one hundred six million, six hundred twenty-five", and thus it is an aban number.