2251287361 has 8 divisors (see below), whose sum is σ = 2280077064. Its totient is φ = 2222653440.

The previous prime is 2251287343. The next prime is 2251287397. The reversal of 2251287361 is 1637821522.

2251287361 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 4 ways, for example, as 56927025 + 2194360336 = 7545^2 + 46844^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2251287361 - 2⁵ = 2251287329 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 2251287361.

It is not an unprimeable number, because it can be changed into a prime (2251287331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9720 + ... + 67801.

It is an arithmetic number, because the mean of its divisors is an integer number (285009633).

Almost surely, 2^2251287361 is an apocalyptic number.

It is an amenable number.

2251287361 is a deficient number, since it is larger than the sum of its proper divisors (28789703).

2251287361 is a wasteful number, since it uses less digits than its factorization.

2251287361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77891.

The product of its digits is 40320, while the sum is 37.

The square root of 2251287361 is about 47447.7329384661. The cubic root of 2251287361 is about 1310.6205635494.

The spelling of 2251287361 in words is "two billion, two hundred fifty-one million, two hundred eighty-seven thousand, three hundred sixty-one".