1335945300561 has 27 divisors (see below), whose sum is σ = 1978123043793. Its totient is φ = 868815046080.

The previous prime is 1335945300539. The next prime is 1335945300563. The reversal of 1335945300561 is 1650035495331.

The square root of 1335945300561 is 1155831.

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

1335945300561 is a `hidden beast` number, since 1 + 3 + 3 + 59 + 4 + 5 + 30 + 0 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1223556761025 + 112388539536 = 1106145^2 + 335244^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1335945300561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1335945300563) 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, 142162515 + ... + 142171911.

Almost surely, 2^{1335945300561} is an apocalyptic number.

1335945300561 is the 1155831-st square number.

1335945300561 is the 577916-th centered octagonal number.

It is an amenable number.

1335945300561 is a deficient number, since it is larger than the sum of its proper divisors (642177743232).

1335945300561 is an frugal number, since it uses more digits than its factorization.

1335945300561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18882 (or 9441 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 1335945300561 in words is "one trillion, three hundred thirty-five billion, nine hundred forty-five million, three hundred thousand, five hundred sixty-one".