39777909137 has 2 divisors, whose sum is σ = 39777909138. Its totient is φ = 39777909136.

The previous prime is 39777909121. The next prime is 39777909139. The reversal of 39777909137 is 73190977793.

It is a Cunningham number, because it is equal to 199444²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39777909136 + 1 = 199444^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 39777909137 - 2⁴ = 39777909121 is a prime.

It is a super-2 number, since 2×39777909137² (a number of 22 digits) contains 22 as substring.

Together with 39777909139, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 39777909137.

It is not a weakly prime, because it can be changed into another prime (39777909139) 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, 19888954568 + 19888954569.

It is an arithmetic number, because the mean of its divisors is an integer number (19888954569).

Almost surely, 2^39777909137 is an apocalyptic number.

It is an amenable number.

39777909137 is a deficient number, since it is larger than the sum of its proper divisors (1).

39777909137 is an equidigital number, since it uses as much as digits as its factorization.

39777909137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15752961, while the sum is 62.

The spelling of 39777909137 in words is "thirty-nine billion, seven hundred seventy-seven million, nine hundred nine thousand, one hundred thirty-seven".