21630165125513 has 12 divisors (see below), whose sum is σ = 25161696765972. Its totient is φ = 18540085455360.

The previous prime is 21630165125477. The next prime is 21630165125557. The reversal of 21630165125513 is 31552156103612.

It can be written as a sum of positive squares in 2 ways, for example, as 14927466777664 + 6702698347849 = 3863608^2 + 2588957^2 .

It is not a de Polignac number, because 21630165125513 - 2¹⁴ = 21630165109129 is a prime.

It is a super-3 number, since 3×21630165125513³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21630165125713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29135381 + ... + 29868557.

It is an arithmetic number, because the mean of its divisors is an integer number (2096808063831).

Almost surely, 2^{21630165125513} is an apocalyptic number.

It is an amenable number.

21630165125513 is a deficient number, since it is larger than the sum of its proper divisors (3531531640459).

21630165125513 is an equidigital number, since it uses as much as digits as its factorization.

21630165125513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335272 (or 1335265 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 41.

The spelling of 21630165125513 in words is "twenty-one trillion, six hundred thirty billion, one hundred sixty-five million, one hundred twenty-five thousand, five hundred thirteen".