264524033761 has 9 divisors (see below), whose sum is σ = 286444507539. Its totient is φ = 244169859336.

The previous prime is 264524033759. The next prime is 264524033923. The reversal of 264524033761 is 167330425462.

The square root of 264524033761 is 514319.

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

It can be written as a sum of positive squares in only one way, i.e., 39130774225 + 225393259536 = 197815^2 + 474756^2 .

It is not a de Polignac number, because 264524033761 - 2¹ = 264524033759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264524033161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6666366 + ... + 6705928.

Almost surely, 2^264524033761 is an apocalyptic number.

264524033761 is the 514319-th square number.

264524033761 is the 257160-th centered octagonal number.

It is an amenable number.

264524033761 is a deficient number, since it is larger than the sum of its proper divisors (21920473778).

264524033761 is an frugal number, since it uses more digits than its factorization.

264524033761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79152 (or 39576 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 264524033761 in words is "two hundred sixty-four billion, five hundred twenty-four million, thirty-three thousand, seven hundred sixty-one".