9240268527961 has 27 divisors (see below), whose sum is σ = 9553733593887. Its totient is φ = 8936956140000.

The previous prime is 9240268527887. The next prime is 9240268527979. The reversal of 9240268527961 is 1697258620429.

The square root of 9240268527961 is 3039781.

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., 445247918361 + 8795020609600 = 667269^2 + 2965640^2 .

It is not a de Polignac number, because 9240268527961 - 2¹⁵ = 9240268495193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9240268527961.

It is not an unprimeable number, because it can be changed into a prime (9240268527661) 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, 18819283926 + ... + 18819284416.

Almost surely, 2^{9240268527961} is an apocalyptic number.

9240268527961 is the 3039781-st square number.

9240268527961 is the 1519891-st centered octagonal number.

It is an amenable number.

9240268527961 is a deficient number, since it is larger than the sum of its proper divisors (313465065926).

9240268527961 is an frugal number, since it uses more digits than its factorization.

9240268527961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 9240268527961 in words is "nine trillion, two hundred forty billion, two hundred sixty-eight million, five hundred twenty-seven thousand, nine hundred sixty-one".