264550779025 has 81 divisors (see below), whose sum is σ = 365989561497. Its totient is φ = 189608140800.

The previous prime is 264550779001. The next prime is 264550779041. The reversal of 264550779025 is 520977055462.

The square root of 264550779025 is 514345.

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

It can be written as a sum of positive squares in 40 ways, for example, as 10800821329 + 253749957696 = 103927^2 + 503736^2 .

It is not a de Polignac number, because 264550779025 - 2¹¹ = 264550776977 is a prime.

It is a super-2 number, since 2×264550779025² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1370729329 + ... + 1370729521.

Almost surely, 2^264550779025 is an apocalyptic number.

264550779025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

264550779025 is the 514345-th square number.

264550779025 is the 257173-rd centered octagonal number.

It is an amenable number.

264550779025 is a deficient number, since it is larger than the sum of its proper divisors (101438782472).

264550779025 is an equidigital number, since it uses as much as digits as its factorization.

264550779025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 52.

The spelling of 264550779025 in words is "two hundred sixty-four billion, five hundred fifty million, seven hundred seventy-nine thousand, twenty-five".