38961509887567 has 2 divisors, whose sum is σ = 38961509887568. Its totient is φ = 38961509887566.

The previous prime is 38961509887543. The next prime is 38961509887591. The reversal of 38961509887567 is 76578890516983.

It is a balanced prime because it is at equal distance from previous prime (38961509887543) and next prime (38961509887591).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38961509887567 is a prime.

It is a super-2 number, since 2×38961509887567² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38961500887567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19480754943783 + 19480754943784.

It is an arithmetic number, because the mean of its divisors is an integer number (19480754943784).

Almost surely, 2^{38961509887567} is an apocalyptic number.

38961509887567 is a deficient number, since it is larger than the sum of its proper divisors (1).

38961509887567 is an equidigital number, since it uses as much as digits as its factorization.

38961509887567 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5486745600, while the sum is 82.

The spelling of 38961509887567 in words is "thirty-eight trillion, nine hundred sixty-one billion, five hundred nine million, eight hundred eighty-seven thousand, five hundred sixty-seven".