268412067225 has 135 divisors (see below), whose sum is σ = 516227987847. Its totient is φ = 137868635520.

The previous prime is 268412067223. The next prime is 268412067229. The reversal of 268412067225 is 522760214862.

The square root of 268412067225 is 518085.

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

268412067225 is a `hidden beast` number, since 2 + 6 + 8 + 412 + 0 + 6 + 7 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 119172015369 + 149240051856 = 345213^2 + 386316^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 268412067225 - 2¹ = 268412067223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (268412067223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 676100727 + ... + 676101123.

Almost surely, 2^268412067225 is an apocalyptic number.

268412067225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

268412067225 is the 518085-th square number.

268412067225 is the 259043-rd centered octagonal number.

It is an amenable number.

268412067225 is a deficient number, since it is larger than the sum of its proper divisors (247815920622).

268412067225 is an frugal number, since it uses more digits than its factorization.

268412067225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 268412067225 in words is "two hundred sixty-eight billion, four hundred twelve million, sixty-seven thousand, two hundred twenty-five".