2672513361 has 36 divisors (see below), whose sum is σ = 4494411012. Its totient is φ = 1525837824.

The previous prime is 2672513351. The next prime is 2672513387. The reversal of 2672513361 is 1633152762.

2672513361 is a `hidden beast` number, since 267 + 25 + 13 + 361 = 666.

2672513361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 55577025 + 2616936336 = 7455^2 + 51156^2 .

It is not a de Polignac number, because 2672513361 - 2¹⁵ = 2672480593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2672513341) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 771345 + ... + 774801.

Almost surely, 2^2672513361 is an apocalyptic number.

2672513361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2672513361 is a deficient number, since it is larger than the sum of its proper divisors (1821897651).

2672513361 is a wasteful number, since it uses less digits than its factorization.

2672513361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230 (or 5220 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 2672513361 is about 51696.3573281522. The cubic root of 2672513361 is about 1387.7352767810.

The spelling of 2672513361 in words is "two billion, six hundred seventy-two million, five hundred thirteen thousand, three hundred sixty-one".