945132049 has 9 divisors (see below), whose sum is σ = 960850299. Its totient is φ = 929668320.

The previous prime is 945132047. The next prime is 945132059. The reversal of 945132049 is 940231549.

The square root of 945132049 is 30743.

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., 105987025 + 839145024 = 10295^2 + 28968^2 .

It is not a de Polignac number, because 945132049 - 2¹ = 945132047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 945131999 and 945132017.

It is not an unprimeable number, because it can be changed into a prime (945132047) 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, 2182537 + ... + 2182969.

Almost surely, 2^945132049 is an apocalyptic number.

945132049 is the 30743-rd square number.

945132049 is the 15372-nd centered octagonal number.

It is an amenable number.

945132049 is a deficient number, since it is larger than the sum of its proper divisors (15718250).

945132049 is an frugal number, since it uses more digits than its factorization.

945132049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The cubic root of 945132049 is about 981.3655989738.

The spelling of 945132049 in words is "nine hundred forty-five million, one hundred thirty-two thousand, forty-nine".