1041288361 has 15 divisors (see below), whose sum is σ = 1106758263. Its totient is φ = 979686840.

The previous prime is 1041288319. The next prime is 1041288379. The reversal of 1041288361 is 1638821401.

The square root of 1041288361 is 32269.

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., 33860761 + 1007427600 = 5819^2 + 31740^2 .

It is not a de Polignac number, because 1041288361 - 2¹³ = 1041280169 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1041286361) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17070271 + ... + 17070331.

Almost surely, 2^1041288361 is an apocalyptic number.

1041288361 is the 32269-th square number.

1041288361 is the 16135-th centered octagonal number.

It is an amenable number.

1041288361 is a deficient number, since it is larger than the sum of its proper divisors (65469902).

1041288361 is an frugal number, since it uses more digits than its factorization.

1041288361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The cubic root of 1041288361 is about 1013.5776013912.

Multiplying 1041288361 by its product of nonzero digits (9216), we get a square (9596513534976 = 3097824²).

The spelling of 1041288361 in words is "one billion, forty-one million, two hundred eighty-eight thousand, three hundred sixty-one".