268515153 has 24 divisors (see below), whose sum is σ = 411328008. Its totient is φ = 168210432.

The previous prime is 268515131. The next prime is 268515157. The reversal of 268515153 is 351515862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 603729 + 267911424 = 777^2 + 16368^2 .

It is not a de Polignac number, because 268515153 - 2¹⁸ = 268253009 is a prime.

It is a super-2 number, since 2×268515153² = 144200774781226818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268515157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142425 + ... + 144297.

It is an arithmetic number, because the mean of its divisors is an integer number (17138667).

Almost surely, 2^268515153 is an apocalyptic number.

It is an amenable number.

268515153 is a deficient number, since it is larger than the sum of its proper divisors (142812855).

268515153 is a wasteful number, since it uses less digits than its factorization.

268515153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2830 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 268515153 is about 16386.4319789270. The cubic root of 268515153 is about 645.1434114138.

The spelling of 268515153 in words is "two hundred sixty-eight million, five hundred fifteen thousand, one hundred fifty-three".