1012895306329 has 9 divisors (see below), whose sum is σ = 1038244921311. Its totient is φ = 988150285680.

The previous prime is 1012895306249. The next prime is 1012895306393. The reversal of 1012895306329 is 9236035982101.

The square root of 1012895306329 is 1006427.

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., 48806971929 + 964088334400 = 220923^2 + 981880^2 .

It is not a de Polignac number, because 1012895306329 - 2²⁵ = 1012861751897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012895306029) 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, 41251234 + ... + 41275780.

Almost surely, 2^{1012895306329} is an apocalyptic number.

1012895306329 is the 1006427-th square number.

1012895306329 is the 503214-th centered octagonal number.

It is an amenable number.

1012895306329 is a deficient number, since it is larger than the sum of its proper divisors (25349614982).

1012895306329 is an frugal number, since it uses more digits than its factorization.

1012895306329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49176 (or 24588 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

Multiplying 1012895306329 by its sum of digits (49), we get a square (49631870010121 = 7044989²).

The spelling of 1012895306329 in words is "one trillion, twelve billion, eight hundred ninety-five million, three hundred six thousand, three hundred twenty-nine".