252166401 has 12 divisors (see below), whose sum is σ = 364389012. Its totient is φ = 168042336.

The previous prime is 252166399. The next prime is 252166403. The reversal of 252166401 is 104661252.

252166401 is a `hidden beast` number, since 2 + 5 + 2 + 16 + 640 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (252166399) and next prime (252166403).

It can be written as a sum of positive squares in 2 ways, for example, as 34574400 + 217592001 = 5880^2 + 14751^2 .

It is not a de Polignac number, because 252166401 - 2¹ = 252166399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252166403) 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 11 ways as a sum of consecutive naturals, for example, 28075 + ... + 35951.

It is an arithmetic number, because the mean of its divisors is an integer number (30365751).

Almost surely, 2^252166401 is an apocalyptic number.

It is an amenable number.

252166401 is a deficient number, since it is larger than the sum of its proper divisors (112222611).

252166401 is a wasteful number, since it uses less digits than its factorization.

252166401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11440 (or 11437 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 252166401 is about 15879.7481403201. The cubic root of 252166401 is about 631.7749567623.

The spelling of 252166401 in words is "two hundred fifty-two million, one hundred sixty-six thousand, four hundred one".