167015172199225 has 243 divisors, whose sum is σ = 255780019806381. Its totient is φ = 107862090134400.

The previous prime is 167015172199223. The next prime is 167015172199283. The reversal of 167015172199225 is 522991271510761.

It is a happy number.

The square root of 167015172199225 is 12923435.

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 38272200721209 + 128742971478016 = 6186453^2 + 11346496^2 .

It is not a de Polignac number, because 167015172199225 - 2¹ = 167015172199223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 167015172199225.

It is not an unprimeable number, because it can be changed into a prime (167015172199223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 602942859787 + ... + 602942860063.

Almost surely, 2^{167015172199225} is an apocalyptic number.

167015172199225 is the 12923435-th square number.

167015172199225 is the 6461718-th centered octagonal number.

It is an amenable number.

167015172199225 is a deficient number, since it is larger than the sum of its proper divisors (88764847607156).

167015172199225 is an frugal number, since it uses more digits than its factorization.

167015172199225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 58.

The spelling of 167015172199225 in words is "one hundred sixty-seven trillion, fifteen billion, one hundred seventy-two million, one hundred ninety-nine thousand, two hundred twenty-five".