35940955561 has 45 divisors (see below), whose sum is σ = 43328077989. Its totient is φ = 29811233088.

The previous prime is 35940955559. The next prime is 35940955571. The reversal of 35940955561 is 16555904953.

The square root of 35940955561 is 189581.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3071265561 + 32869690000 = 55419^2 + 181300^2 .

It is not a de Polignac number, because 35940955561 - 2¹ = 35940955559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35940955499 and 35940955508.

It is not an unprimeable number, because it can be changed into a prime (35940955571) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 492341821 + ... + 492341893.

Almost surely, 2^35940955561 is an apocalyptic number.

35940955561 is the 189581-st square number.

35940955561 is the 94791-st centered octagonal number.

It is an amenable number.

35940955561 is a deficient number, since it is larger than the sum of its proper divisors (7387122428).

35940955561 is an frugal number, since it uses more digits than its factorization.

35940955561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 52.

The spelling of 35940955561 in words is "thirty-five billion, nine hundred forty million, nine hundred fifty-five thousand, five hundred sixty-one".