38137305208757 has 2 divisors, whose sum is σ = 38137305208758. Its totient is φ = 38137305208756.

The previous prime is 38137305208729. The next prime is 38137305208799. The reversal of 38137305208757 is 75780250373183.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37826915828881 + 310389379876 = 6150359^2 + 557126^2 .

It is a cyclic number.

It is not a de Polignac number, because 38137305208757 - 2¹⁰ = 38137305207733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38137305208696 and 38137305208705.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38137305238757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19068652604378 + 19068652604379.

It is an arithmetic number, because the mean of its divisors is an integer number (19068652604379).

Almost surely, 2^{38137305208757} is an apocalyptic number.

It is an amenable number.

38137305208757 is a deficient number, since it is larger than the sum of its proper divisors (1).

38137305208757 is an equidigital number, since it uses as much as digits as its factorization.

38137305208757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29635200, while the sum is 59.

The spelling of 38137305208757 in words is "thirty-eight trillion, one hundred thirty-seven billion, three hundred five million, two hundred eight thousand, seven hundred fifty-seven".