262926225 has 81 divisors (see below), whose sum is σ = 502992763. Its totient is φ = 131276640.

The previous prime is 262926197. The next prime is 262926227. The reversal of 262926225 is 522629262.

The square root of 262926225 is 16215.

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

262926225 is a `hidden beast` number, since 2 + 6 + 29 + 2 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94653441 + 168272784 = 9729^2 + 12972^2 .

It is not a de Polignac number, because 262926225 - 2⁵ = 262926193 is a prime.

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 262926225.

It is not an unprimeable number, because it can be changed into a prime (262926227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5594152 + ... + 5594198.

Almost surely, 2^262926225 is an apocalyptic number.

262926225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

262926225 is the 16215-th square number.

262926225 is the 8108-th centered octagonal number.

It is an amenable number.

262926225 is a deficient number, since it is larger than the sum of its proper divisors (240066538).

262926225 is a wasteful number, since it uses less digits than its factorization.

262926225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The cubic root of 262926225 is about 640.6359442112.

Multiplying 262926225 by its sum of digits (36), we get a square (9465344100 = 97290²).

The spelling of 262926225 in words is "two hundred sixty-two million, nine hundred twenty-six thousand, two hundred twenty-five".