530535967641 has 63 divisors (see below), whose sum is σ = 812327473069. Its totient is φ = 346335473952.

The previous prime is 530535967639. The next prime is 530535967657. The reversal of 530535967641 is 146769535035.

The square root of 530535967641 is 728379.

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

530535967641 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 3 + 596 + 7 + 6 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 153166563225 + 377369404416 = 391365^2 + 614304^2 .

It is not a de Polignac number, because 530535967641 - 2¹ = 530535967639 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (530535967681) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1042310095 + ... + 1042310603.

Almost surely, 2^530535967641 is an apocalyptic number.

530535967641 is the 728379-th square number.

530535967641 is the 364190-th centered octagonal number.

It is an amenable number.

530535967641 is a deficient number, since it is larger than the sum of its proper divisors (281791505428).

530535967641 is an frugal number, since it uses more digits than its factorization.

530535967641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

It can be divided in two parts, 530535 and 967641, that added together give a square (1498176 = 1224²).

The spelling of 530535967641 in words is "five hundred thirty billion, five hundred thirty-five million, nine hundred sixty-seven thousand, six hundred forty-one".