10219063512529 has 9 divisors (see below), whose sum is σ = 10244209828251. Its totient is φ = 10193978795760.

The previous prime is 10219063512517. The next prime is 10219063512569. The reversal of 10219063512529 is 92521536091201.

The square root of 10219063512529 is 3196727.

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., 8326369947025 + 1892693565504 = 2885545^2 + 1375752^2 .

It is not a de Polignac number, because 10219063512529 - 2¹⁵ = 10219063479761 is a prime.

It is a super-3 number, since 3×10219063512529³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10219063512569) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1377785629 + ... + 1377793045.

Almost surely, 2^{10219063512529} is an apocalyptic number.

10219063512529 is the 3196727-th square number.

10219063512529 is the 1598364-th centered octagonal number.

It is an amenable number.

10219063512529 is a deficient number, since it is larger than the sum of its proper divisors (25146315722).

10219063512529 is an frugal number, since it uses more digits than its factorization.

10219063512529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15696 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 46.

The spelling of 10219063512529 in words is "ten trillion, two hundred nineteen billion, sixty-three million, five hundred twelve thousand, five hundred twenty-nine".