42077257337 has 2 divisors, whose sum is σ = 42077257338. Its totient is φ = 42077257336.

The previous prime is 42077257301. The next prime is 42077257351. The reversal of 42077257337 is 73375277024.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37489091641 + 4588165696 = 193621^2 + 67736^2 .

It is a cyclic number.

It is not a de Polignac number, because 42077257337 - 2⁸ = 42077257081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42077257291 and 42077257300.

It is not a weakly prime, because it can be changed into another prime (42077257357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21038628668 + 21038628669.

It is an arithmetic number, because the mean of its divisors is an integer number (21038628669).

Almost surely, 2^42077257337 is an apocalyptic number.

It is an amenable number.

42077257337 is a deficient number, since it is larger than the sum of its proper divisors (1).

42077257337 is an equidigital number, since it uses as much as digits as its factorization.

42077257337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728720, while the sum is 47.

The spelling of 42077257337 in words is "forty-two billion, seventy-seven million, two hundred fifty-seven thousand, three hundred thirty-seven".