21827015317753 has 8 divisors (see below), whose sum is σ = 21837932747496. Its totient is φ = 21816098304000.

The previous prime is 21827015317733. The next prime is 21827015317829. The reversal of 21827015317753 is 35771351072812.

It can be written as a sum of positive squares in 4 ways, for example, as 9586869335289 + 12240145982464 = 3096267^2 + 3498592^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21827015317753 - 2¹⁷ = 21827015186681 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21827015317753.

It is not an unprimeable number, because it can be changed into a prime (21827015317733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192229725 + ... + 192343237.

It is an arithmetic number, because the mean of its divisors is an integer number (2729741593437).

Almost surely, 2^{21827015317753} is an apocalyptic number.

It is an amenable number.

21827015317753 is a deficient number, since it is larger than the sum of its proper divisors (10917429743).

21827015317753 is a wasteful number, since it uses less digits than its factorization.

21827015317753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207995.

The product of its (nonzero) digits is 2469600, while the sum is 52.

The spelling of 21827015317753 in words is "twenty-one trillion, eight hundred twenty-seven billion, fifteen million, three hundred seventeen thousand, seven hundred fifty-three".