152201569 has 15 divisors (see below), whose sum is σ = 167174223. Its totient is φ = 138569184.

The previous prime is 152201551. The next prime is 152201587. The reversal of 152201569 is 965102251.

The square root of 152201569 is 12337.

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

It is an interprime number because it is at equal distance from previous prime (152201551) and next prime (152201587).

It can be written as a sum of positive squares in 7 ways, for example, as 151413025 + 788544 = 12305^2 + 888^2 .

It is not a de Polignac number, because 152201569 - 2⁹ = 152201057 is a prime.

It is a super-2 number, since 2×152201569² = 46330635212123522, which contains 22 as substring.

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 152201569.

It is not an unprimeable number, because it can be changed into a prime (152201509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2084917 + ... + 2084989.

Almost surely, 2^152201569 is an apocalyptic number.

152201569 is the 12337-th square number.

152201569 is the 6169-th centered octagonal number.

It is an amenable number.

152201569 is a deficient number, since it is larger than the sum of its proper divisors (14972654).

152201569 is an frugal number, since it uses more digits than its factorization.

152201569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The cubic root of 152201569 is about 533.9161321434.

The spelling of 152201569 in words is "one hundred fifty-two million, two hundred one thousand, five hundred sixty-nine".