17285213687401 has 27 divisors (see below), whose sum is σ = 19862637276727. Its totient is φ = 15029705936960.

The previous prime is 17285213687351. The next prime is 17285213687429. The reversal of 17285213687401 is 10478631258271.

The square root of 17285213687401 is 4157549.

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

17285213687401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 17079663890025 + 205549797376 = 4132755^2 + 453376^2 .

It is not a de Polignac number, because 17285213687401 - 2⁴¹ = 15086190431849 is a prime.

It is a super-2 number, since 2×17285213687401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17285213687431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1051851681 + ... + 1051868113.

Almost surely, 2^{17285213687401} is an apocalyptic number.

17285213687401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

17285213687401 is the 4157549-th square number.

17285213687401 is the 2078775-th centered octagonal number.

It is an amenable number.

17285213687401 is a deficient number, since it is larger than the sum of its proper divisors (2577423589326).

17285213687401 is an frugal number, since it uses more digits than its factorization.

17285213687401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32934 (or 16467 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 17285213687401 in words is "seventeen trillion, two hundred eighty-five billion, two hundred thirteen million, six hundred eighty-seven thousand, four hundred one".