10035431329 has 27 divisors (see below), whose sum is σ = 12841478643. Its totient is φ = 7813806000.

The previous prime is 10035431327. The next prime is 10035431339. The reversal of 10035431329 is 92313453001.

The square root of 10035431329 is 100177.

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., 15421329 + 10020010000 = 3927^2 + 100100^2 .

It is not a de Polignac number, because 10035431329 - 2¹ = 10035431327 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10035431329.

It is not an unprimeable number, because it can be changed into a prime (10035431327) 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, 7712979 + ... + 7714279.

Almost surely, 2^10035431329 is an apocalyptic number.

10035431329 is the 100177-th square number.

10035431329 is the 50089-th centered octagonal number.

It is an amenable number.

10035431329 is a deficient number, since it is larger than the sum of its proper divisors (2806047314).

10035431329 is an frugal number, since it uses more digits than its factorization.

10035431329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 10035431329 in words is "ten billion, thirty-five million, four hundred thirty-one thousand, three hundred twenty-nine".