265742312004 has 135 divisors (see below), whose sum is σ = 752593870413. Its totient is φ = 81729749088.

The previous prime is 265742311999. The next prime is 265742312009. The reversal of 265742312004 is 400213247562.

The square root of 265742312004 is 515502.

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

265742312004 is a `hidden beast` number, since 26 + 5 + 7 + 423 + 1 + 200 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (265742311999) and next prime (265742312009).

It can be written as a sum of positive squares in only one way, i.e., 39310992900 + 226431319104 = 198270^2 + 475848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 265742312004.

It is not an unprimeable number, because it can be changed into a prime (265742312009) 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 44 ways as a sum of consecutive naturals, for example, 120626367 + ... + 120628569.

Almost surely, 2^265742312004 is an apocalyptic number.

265742312004 is the 515502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265742312004

265742312004 is an abundant number, since it is smaller than the sum of its proper divisors (486851558409).

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

265742312004 is an equidigital number, since it uses as much as digits as its factorization.

265742312004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 265742312004 by its sum of digits (36), we get a square (9566723232144 = 3093012²).

265742312004 divided by its sum of digits (36) gives a square (7381730889 = 85917²).

Adding to 265742312004 its reverse (400213247562), we get a palindrome (665955559566).

The spelling of 265742312004 in words is "two hundred sixty-five billion, seven hundred forty-two million, three hundred twelve thousand, four".