829328955625 has 45 divisors (see below), whose sum is σ = 1052830098243. Its totient is φ = 653063256000.

The previous prime is 829328955613. The next prime is 829328955751. The reversal of 829328955625 is 526559823928.

The square root of 829328955625 is 910675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 588232243369 + 241096712256 = 766963^2 + 491016^2 .

It is not a de Polignac number, because 829328955625 - 2¹⁷ = 829328824553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1661981626 + ... + 1661982124.

Almost surely, 2^829328955625 is an apocalyptic number.

829328955625 is the 910675-th square number.

829328955625 is the 455338-th centered octagonal number.

It is an amenable number.

829328955625 is a deficient number, since it is larger than the sum of its proper divisors (223501142618).

829328955625 is an frugal number, since it uses more digits than its factorization.

829328955625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 577 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 64.

Multiplying 829328955625 by its sum of digits (64), we get a square (53077053160000 = 7285400²).

The spelling of 829328955625 in words is "eight hundred twenty-nine billion, three hundred twenty-eight million, nine hundred fifty-five thousand, six hundred twenty-five".