268001151 has 32 divisors (see below), whose sum is σ = 405630720. Its totient is φ = 155904000.

The previous prime is 268001131. The next prime is 268001171. The reversal of 268001151 is 151100862.

It is an interprime number because it is at equal distance from previous prime (268001131) and next prime (268001171).

It is not a de Polignac number, because 268001151 - 2¹⁴ = 267984767 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268001131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183976 + ... + 185426.

It is an arithmetic number, because the mean of its divisors is an integer number (12675960).

Almost surely, 2^268001151 is an apocalyptic number.

268001151 is a deficient number, since it is larger than the sum of its proper divisors (137629569).

268001151 is a wasteful number, since it uses less digits than its factorization.

268001151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687.

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 268001151 is about 16370.7406979648. The cubic root of 268001151 is about 644.7314957165.

The spelling of 268001151 in words is "two hundred sixty-eight million, one thousand, one hundred fifty-one".