10732339800625 has 15 divisors (see below), whose sum is σ = 13411234158663. Its totient is φ = 8585806320000.

The previous prime is 10732339800551. The next prime is 10732339800653. The reversal of 10732339800625 is 52600893323701.

It is a happy number.

The square root of 10732339800625 is 3276025.

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 10451041099249 + 281298701376 = 3232807^2 + 530376^2 .

It is not a de Polignac number, because 10732339800625 - 2¹⁵ = 10732339767857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 81835105 + ... + 81966145.

Almost surely, 2^{10732339800625} is an apocalyptic number.

10732339800625 is the 3276025-th square number.

10732339800625 is the 1638013-rd centered octagonal number.

It is an amenable number.

10732339800625 is a deficient number, since it is larger than the sum of its proper divisors (2678894358038).

10732339800625 is an frugal number, since it uses more digits than its factorization.

10732339800625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262102 (or 131046 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 10732339800625 by its sum of digits (49), we get a square (525884650230625 = 22932175²).

The spelling of 10732339800625 in words is "ten trillion, seven hundred thirty-two billion, three hundred thirty-nine million, eight hundred thousand, six hundred twenty-five".