264125072761 has 27 divisors (see below), whose sum is σ = 306528121893. Its totient is φ = 227383631640.

The previous prime is 264125072707. The next prime is 264125072821. The reversal of 264125072761 is 167270521462.

The square root of 264125072761 is 513931.

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

It is not a de Polignac number, because 264125072761 - 2³³ = 255535138169 is a prime.

It is a super-2 number, since 2×264125072761² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264125070761) 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 26 ways as a sum of consecutive naturals, for example, 107410350 + ... + 107412808.

Almost surely, 2^264125072761 is an apocalyptic number.

264125072761 is the 513931-st square number.

264125072761 is the 256966-th centered octagonal number.

It is an amenable number.

264125072761 is a deficient number, since it is larger than the sum of its proper divisors (42403049132).

264125072761 is an frugal number, since it uses more digits than its factorization.

264125072761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 264125072761 in words is "two hundred sixty-four billion, one hundred twenty-five million, seventy-two thousand, seven hundred sixty-one".