213002008553 has 2 divisors, whose sum is σ = 213002008554. Its totient is φ = 213002008552.

The previous prime is 213002008501. The next prime is 213002008567. The reversal of 213002008553 is 355800200312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195852272704 + 17149735849 = 442552^2 + 130957^2 .

It is a cyclic number.

It is not a de Polignac number, because 213002008553 - 2⁶ = 213002008489 is a prime.

It is a super-2 number, since 2×213002008553² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213002008573) 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, 106501004276 + 106501004277.

It is an arithmetic number, because the mean of its divisors is an integer number (106501004277).

Almost surely, 2^213002008553 is an apocalyptic number.

It is an amenable number.

213002008553 is a deficient number, since it is larger than the sum of its proper divisors (1).

213002008553 is an equidigital number, since it uses as much as digits as its factorization.

213002008553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 213002008553 its reverse (355800200312), we get a palindrome (568802208865).

The spelling of 213002008553 in words is "two hundred thirteen billion, two million, eight thousand, five hundred fifty-three".