33027077992561 has 9 divisors (see below), whose sum is σ = 33148337500299. Its totient is φ = 32906260514424.

The previous prime is 33027077992511. The next prime is 33027077992591. The reversal of 33027077992561 is 16529977072033.

It is a happy number.

The square root of 33027077992561 is 5746919.

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

It can be written as a sum of positive squares in only one way, i.e., 5692542669025 + 27334535323536 = 2385905^2 + 5228244^2 .

It is not a de Polignac number, because 33027077992561 - 2⁹ = 33027077992049 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 33027077992561.

It is not an unprimeable number, because it can be changed into a prime (33027077992511) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1591886190 + ... + 1591906936.

Almost surely, 2^{33027077992561} is an apocalyptic number.

33027077992561 is the 5746919-th square number.

33027077992561 is the 2873460-th centered octagonal number.

It is an amenable number.

33027077992561 is a deficient number, since it is larger than the sum of its proper divisors (121259507738).

33027077992561 is an frugal number, since it uses more digits than its factorization.

33027077992561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42048 (or 21024 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 61.

The spelling of 33027077992561 in words is "thirty-three trillion, twenty-seven billion, seventy-seven million, nine hundred ninety-two thousand, five hundred sixty-one".