8958031042009 has 27 divisors (see below), whose sum is σ = 10470202392447. Its totient is φ = 7641911492208.

The previous prime is 8958031042001. The next prime is 8958031042043. The reversal of 8958031042009 is 9002401308598.

The square root of 8958031042009 is 2992997.

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., 8464299966409 + 493731075600 = 2909347^2 + 702660^2 .

It is not a de Polignac number, because 8958031042009 - 2³ = 8958031042001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (8958031042001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5007283087 + ... + 5007284875.

Almost surely, 2^{8958031042009} is an apocalyptic number.

8958031042009 is the 2992997-th square number.

8958031042009 is the 1496499-th centered octagonal number.

It is an amenable number.

8958031042009 is a deficient number, since it is larger than the sum of its proper divisors (1512171350438).

8958031042009 is an frugal number, since it uses more digits than its factorization.

8958031042009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 8958031042009 by its sum of digits (49), we get a square (438943521058441 = 20950979²).

8958031042009 divided by its sum of digits (49) gives a square (182816960041 = 427571²).

The spelling of 8958031042009 in words is "eight trillion, nine hundred fifty-eight billion, thirty-one million, forty-two thousand, nine".