1029263004676 has 81 divisors (see below), whose sum is σ = 1953649407871. Its totient is φ = 474376125184.

The previous prime is 1029263004661. The next prime is 1029263004677. The reversal of 1029263004676 is 6764003629201.

The square root of 1029263004676 is 1014526.

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

It can be written as a sum of positive squares in 4 ways, for example, as 257887246276 + 771375758400 = 507826^2 + 878280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1029263004677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1828175571 + ... + 1828176133.

Almost surely, 2^{1029263004676} is an apocalyptic number.

1029263004676 is the 1014526-th square number.

It is an amenable number.

1029263004676 is a deficient number, since it is larger than the sum of its proper divisors (924386403195).

1029263004676 is an frugal number, since it uses more digits than its factorization.

1029263004676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 1029263004676 in words is "one trillion, twenty-nine billion, two hundred sixty-three million, four thousand, six hundred seventy-six".