17834413132561 has 9 divisors (see below), whose sum is σ = 17874660859401. Its totient is φ = 17794255855332.

The previous prime is 17834413132537. The next prime is 17834413132619. The reversal of 17834413132561 is 16523131443871.

The square root of 17834413132561 is 4223081.

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

It is not a de Polignac number, because 17834413132561 - 2⁹ = 17834413132049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17834413139561) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1972174306 + ... + 1972183348.

Almost surely, 2^{17834413132561} is an apocalyptic number.

17834413132561 is the 4223081-st square number.

17834413132561 is the 2111541-st centered octagonal number.

It is an amenable number.

17834413132561 is a deficient number, since it is larger than the sum of its proper divisors (40247726840).

17834413132561 is an frugal number, since it uses more digits than its factorization.

17834413132561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19020 (or 9510 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

Multiplying 17834413132561 by its sum of digits (49), we get a square (873886243495489 = 29561567²).

The spelling of 17834413132561 in words is "seventeen trillion, eight hundred thirty-four billion, four hundred thirteen million, one hundred thirty-two thousand, five hundred sixty-one".