264761702500 has 135 divisors (see below), whose sum is σ = 595820552173. Its totient is φ = 102910000000.

The previous prime is 264761702479. The next prime is 264761702507. The reversal of 264761702500 is 5207167462.

The square root of 264761702500 is 514550.

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

264761702500 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 263729494116 + 1032208384 = 513546^2 + 32128^2 .

It is a super-2 number, since 2×264761702500² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264761702507) 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 44 ways as a sum of consecutive naturals, for example, 1054827375 + ... + 1054827625.

Almost surely, 2^264761702500 is an apocalyptic number.

264761702500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

264761702500 is the 514550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264761702500

264761702500 is an abundant number, since it is smaller than the sum of its proper divisors (331058849673).

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

264761702500 is an frugal number, since it uses more digits than its factorization.

264761702500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

Adding to 264761702500 its reverse (5207167462), we get a palindrome (269968869962).

The spelling of 264761702500 in words is "two hundred sixty-four billion, seven hundred sixty-one million, seven hundred two thousand, five hundred".