40135213513 has 2 divisors, whose sum is σ = 40135213514. Its totient is φ = 40135213512.

The previous prime is 40135213441. The next prime is 40135213541. The reversal of 40135213513 is 31531253104.

It is a happy number.

It is an a-pointer prime, because the next prime (40135213541) can be obtained adding 40135213513 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31225363849 + 8909849664 = 176707^2 + 94392^2 .

It is a cyclic number.

It is not a de Polignac number, because 40135213513 - 2¹⁷ = 40135082441 is a prime.

It is a super-2 number, since 2×40135213513² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40135213213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20067606756 + 20067606757.

It is an arithmetic number, because the mean of its divisors is an integer number (20067606757).

Almost surely, 2^40135213513 is an apocalyptic number.

It is an amenable number.

40135213513 is a deficient number, since it is larger than the sum of its proper divisors (1).

40135213513 is an equidigital number, since it uses as much as digits as its factorization.

40135213513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 40135213513 its reverse (31531253104), we get a palindrome (71666466617).

The spelling of 40135213513 in words is "forty billion, one hundred thirty-five million, two hundred thirteen thousand, five hundred thirteen".