2029500458653 has 2 divisors, whose sum is σ = 2029500458654. Its totient is φ = 2029500458652.

The previous prime is 2029500458651. The next prime is 2029500458663. The reversal of 2029500458653 is 3568540059202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1819482649924 + 210017808729 = 1348882^2 + 458277^2 .

It is a cyclic number.

It is not a de Polignac number, because 2029500458653 - 2¹ = 2029500458651 is a prime.

It is a super-3 number, since 3×2029500458653³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2029500458651, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2029500458597 and 2029500458606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2029500458651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1014750229326 + 1014750229327.

It is an arithmetic number, because the mean of its divisors is an integer number (1014750229327).

Almost surely, 2^{2029500458653} is an apocalyptic number.

It is an amenable number.

2029500458653 is a deficient number, since it is larger than the sum of its proper divisors (1).

2029500458653 is an equidigital number, since it uses as much as digits as its factorization.

2029500458653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 2029500458653 in words is "two trillion, twenty-nine billion, five hundred million, four hundred fifty-eight thousand, six hundred fifty-three".