264417066225 has 189 divisors, whose sum is σ = 534137338227. Its totient is φ = 129730273920.

The previous prime is 264417066223. The next prime is 264417066227. The reversal of 264417066225 is 522660714462.

The square root of 264417066225 is 514215.

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

264417066225 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 17 + 0 + 6 + 622 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (264417066223) and next prime (264417066227).

It can be written as a sum of positive squares in 13 ways, for example, as 127271276001 + 137145790224 = 356751^2 + 370332^2 .

It is not a de Polignac number, because 264417066225 - 2¹ = 264417066223 is a prime.

It is a super-2 number, since 2×264417066225² (a number of 24 digits) contains 22 as substring.

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 (264417066223) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 902447179 + ... + 902447471.

Almost surely, 2^264417066225 is an apocalyptic number.

264417066225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

264417066225 is the 514215-th square number.

264417066225 is the 257108-th centered octagonal number.

It is an amenable number.

264417066225 is an abundant number, since it is smaller than the sum of its proper divisors (269720272002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264417066225 is an frugal number, since it uses more digits than its factorization.

264417066225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 264417066225 in words is "two hundred sixty-four billion, four hundred seventeen million, sixty-six thousand, two hundred twenty-five".