2835967145089 has 27 divisors (see below), whose sum is σ = 3088566372027. Its totient is φ = 2602841404800.

The previous prime is 2835967145069. The next prime is 2835967145101. The reversal of 2835967145089 is 9805417695382.

The square root of 2835967145089 is 1684033.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2424326850625 + 411640294464 = 1557025^2 + 641592^2 .

It is not a de Polignac number, because 2835967145089 - 2⁵ = 2835967145057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2835967145069) 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, 6151772319 + ... + 6151772779.

It is a 3-persistent number, because k⋅2835967145089 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{2835967145089} is an apocalyptic number.

2835967145089 is the 1684033-rd square number.

2835967145089 is the 842017-th centered octagonal number.

It is an amenable number.

2835967145089 is a deficient number, since it is larger than the sum of its proper divisors (252599226938).

2835967145089 is an frugal number, since it uses more digits than its factorization.

2835967145089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 67.

The spelling of 2835967145089 in words is "two trillion, eight hundred thirty-five billion, nine hundred sixty-seven million, one hundred forty-five thousand, eighty-nine".