7539587880561 has 27 divisors (see below), whose sum is σ = 11970710850553. Its totient is φ = 4569392283720.

The previous prime is 7539587880533. The next prime is 7539587880589. The reversal of 7539587880561 is 1650887859357.

The square root of 7539587880561 is 2745831.

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

7539587880561 is a `hidden beast` number, since 7 + 5 + 3 + 9 + 58 + 7 + 8 + 8 + 0 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (7539587880533) and next prime (7539587880589).

It is not a de Polignac number, because 7539587880561 - 2²⁹ = 7539051009649 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 7539587880561.

It is not an unprimeable number, because it can be changed into a prime (7539587880761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90570820 + ... + 90654026.

Almost surely, 2^{7539587880561} is an apocalyptic number.

7539587880561 is the 2745831-st square number.

7539587880561 is the 1372916-th centered octagonal number.

It is an amenable number.

7539587880561 is a deficient number, since it is larger than the sum of its proper divisors (4431122969992).

7539587880561 is an frugal number, since it uses more digits than its factorization.

7539587880561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166442 (or 83221 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 72.

The spelling of 7539587880561 in words is "seven trillion, five hundred thirty-nine billion, five hundred eighty-seven million, eight hundred eighty thousand, five hundred sixty-one".