10958949225 has 81 divisors (see below), whose sum is σ = 22856305797. Its totient is φ = 5004780480.

The previous prime is 10958949223. The next prime is 10958949233. The reversal of 10958949225 is 52294985901.

The square root of 10958949225 is 104685.

It is a perfect power (a square), and thus also a powerful number.

10958949225 is a `hidden beast` number, since 10 + 9 + 589 + 49 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 730458729 + 10228490496 = 27027^2 + 101136^2 .

It is not a de Polignac number, because 10958949225 - 2¹ = 10958949223 is a prime.

It is a super-2 number, since 2×10958949225² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10958949223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10991427 + ... + 10992423.

Almost surely, 2^10958949225 is an apocalyptic number.

10958949225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10958949225 is the 104685-th square number.

10958949225 is the 52343-rd centered octagonal number.

It is an amenable number.

10958949225 is an abundant number, since it is smaller than the sum of its proper divisors (11897356572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10958949225 is an frugal number, since it uses more digits than its factorization.

10958949225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 10958949225 in words is "ten billion, nine hundred fifty-eight million, nine hundred forty-nine thousand, two hundred twenty-five".