10491290329 has 9 divisors (see below), whose sum is σ = 11361833343. Its totient is φ = 9683038872.

The previous prime is 10491290323. The next prime is 10491290347. The reversal of 10491290329 is 92309219401.

The square root of 10491290329 is 102427.

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., 1551966025 + 8939324304 = 39395^2 + 94548^2 .

It is not a de Polignac number, because 10491290329 - 2¹¹ = 10491288281 is a prime.

It is a super-2 number, since 2×10491290329² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10491290291 and 10491290300.

It is not an unprimeable number, because it can be changed into a prime (10491290323) 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, 1327612 + ... + 1335490.

It is an arithmetic number, because the mean of its divisors is an integer number (1262425927).

Almost surely, 2^10491290329 is an apocalyptic number.

10491290329 is the 102427-th square number.

10491290329 is the 51214-th centered octagonal number.

It is an amenable number.

10491290329 is a deficient number, since it is larger than the sum of its proper divisors (870543014).

10491290329 is an frugal number, since it uses more digits than its factorization.

10491290329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15784 (or 7892 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 10491290329 in words is "ten billion, four hundred ninety-one million, two hundred ninety thousand, three hundred twenty-nine".