1029463890625 has 21 divisors (see below), whose sum is σ = 1286971944517. Its totient is φ = 823469650000.

The previous prime is 1029463890619. The next prime is 1029463890643. The reversal of 1029463890625 is 5260983649201.

The square root of 1029463890625 is 1014625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 1027127521729 + 2336368896 = 1013473^2 + 48336^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1029463890625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 126824067 + ... + 126832183.

Almost surely, 2^{1029463890625} is an apocalyptic number.

1029463890625 is the 1014625-th square number.

1029463890625 is the 507313-rd centered octagonal number.

It is an amenable number.

1029463890625 is a deficient number, since it is larger than the sum of its proper divisors (257508053892).

1029463890625 is an frugal number, since it uses more digits than its factorization.

1029463890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16264 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 1029463890625 in words is "one trillion, twenty-nine billion, four hundred sixty-three million, eight hundred ninety thousand, six hundred twenty-five".