10957274329 has 3 divisors (see below), whose sum is σ = 10957379007. Its totient is φ = 10957169652.

The previous prime is 10957274309. The next prime is 10957274357. The reversal of 10957274329 is 92347275901.

It is a happy number.

The square root of 10957274329 is 104677.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 9770334025 + 1186940304 = 98845^2 + 34452^2 .

It is not a de Polignac number, because 10957274329 - 2¹⁷ = 10957143257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10957274309) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 52339 + ... + 157015.

It is an arithmetic number, because the mean of its divisors is an integer number (3652459669).

Almost surely, 2^10957274329 is an apocalyptic number.

10957274329 is the 104677-th square number.

10957274329 is the 52339-th centered octagonal number.

It is an amenable number.

10957274329 is a deficient number, since it is larger than the sum of its proper divisors (104678).

10957274329 is an frugal number, since it uses more digits than its factorization.

10957274329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209354 (or 104677 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

Multiplying 10957274329 by its sum of digits (49), we get a square (536906442121 = 732739²).

The spelling of 10957274329 in words is "ten billion, nine hundred fifty-seven million, two hundred seventy-four thousand, three hundred twenty-nine".