17052638106256 has 135 divisors (see below), whose sum is σ = 34668930259899. Its totient is φ = 8125238790144.

The previous prime is 17052638106233. The next prime is 17052638106271. The reversal of 17052638106256 is 65260183625071.

The square root of 17052638106256 is 4129484.

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 12122010000 + 17040516096256 = 110100^2 + 4128016^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46464953785 + ... + 46464954151.

Almost surely, 2^{17052638106256} is an apocalyptic number.

17052638106256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

17052638106256 is the 4129484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17052638106256

17052638106256 is an abundant number, since it is smaller than the sum of its proper divisors (17616292153643).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17052638106256 is an frugal number, since it uses more digits than its factorization.

17052638106256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 17052638106256 in words is "seventeen trillion, fifty-two billion, six hundred thirty-eight million, one hundred six thousand, two hundred fifty-six".