21830583527041 has 27 divisors (see below), whose sum is σ = 22413219080259. Its totient is φ = 21262947921072.

The previous prime is 21830583526993. The next prime is 21830583527059. The reversal of 21830583527041 is 14072538503812.

The square root of 21830583527041 is 4672321.

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

It can be written as a sum of positive squares in only one way, i.e., 15737604714225 + 6092978812816 = 3967065^2 + 2468396^2 .

It is not a de Polignac number, because 21830583527041 - 2³⁹ = 21280827713153 is a prime.

It is a super-2 number, since 2×21830583527041² (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 (21830589527041) 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, 49278969366 + ... + 49278969808.

Almost surely, 2^{21830583527041} is an apocalyptic number.

21830583527041 is the 4672321-st square number.

21830583527041 is the 2336161-st centered octagonal number.

It is an amenable number.

21830583527041 is a deficient number, since it is larger than the sum of its proper divisors (582635553218).

21830583527041 is an frugal number, since it uses more digits than its factorization.

21830583527041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 21830583527041 in words is "twenty-one trillion, eight hundred thirty billion, five hundred eighty-three million, five hundred twenty-seven thousand, forty-one".