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402205040513 is a prime number
BaseRepresentation
bin1011101101001010100…
…10011101111110000001
31102110011100202000220222
411312211102131332001
523042203442244023
6504434225512425
741026005302363
oct5664522357601
91373140660828
10402205040513
11145635294a31
1265b497a2715
132bc0a416043
1415676d92d33
15a6e02adcc8
hex5da549df81

402205040513 has 2 divisors, whose sum is σ = 402205040514. Its totient is φ = 402205040512.

The previous prime is 402205040477. The next prime is 402205040539. The reversal of 402205040513 is 315040502204.

It is a happy number.

It is an a-pointer prime, because the next prime (402205040539) can be obtained adding 402205040513 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271474345024 + 130730695489 = 521032^2 + 361567^2 .

It is a cyclic number.

It is not a de Polignac number, because 402205040513 - 26 = 402205040449 is a prime.

It is a super-2 number, since 2×4022050405132 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (402205040563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201102520256 + 201102520257.

It is an arithmetic number, because the mean of its divisors is an integer number (201102520257).

Almost surely, 2402205040513 is an apocalyptic number.

It is an amenable number.

402205040513 is a deficient number, since it is larger than the sum of its proper divisors (1).

402205040513 is an equidigital number, since it uses as much as digits as its factorization.

402205040513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 402205040513 its reverse (315040502204), we get a palindrome (717245542717).

The spelling of 402205040513 in words is "four hundred two billion, two hundred five million, forty thousand, five hundred thirteen".