1029306494052 has 72 divisors (see below), whose sum is σ = 2686350401280. Its totient is φ = 331964948160.

The previous prime is 1029306494009. The next prime is 1029306494071. The reversal of 1029306494052 is 2504946039201.

1029306494052 is a `hidden beast` number, since 102 + 9 + 3 + 0 + 6 + 494 + 0 + 52 = 666.

It is a super-2 number, since 2×1029306494052² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1029306493989 and 1029306494007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5384503 + ... + 5572385.

It is an arithmetic number, because the mean of its divisors is an integer number (37310422240).

Almost surely, 2^{1029306494052} is an apocalyptic number.

1029306494052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1029306494052 is an abundant number, since it is smaller than the sum of its proper divisors (1657043907228).

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

1029306494052 is a wasteful number, since it uses less digits than its factorization.

1029306494052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192833 (or 192828 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1029306494052 in words is "one trillion, twenty-nine billion, three hundred six million, four hundred ninety-four thousand, fifty-two".