6137478004601 has 2 divisors, whose sum is σ = 6137478004602. Its totient is φ = 6137478004600.

The previous prime is 6137478004591. The next prime is 6137478004631. The reversal of 6137478004601 is 1064008747316.

6137478004601 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4979592250000 + 1157885754601 = 2231500^2 + 1076051^2 .

It is a cyclic number.

It is not a de Polignac number, because 6137478004601 - 2²² = 6137473810297 is a prime.

It is a super-2 number, since 2×6137478004601² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6137478004631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3068739002300 + 3068739002301.

It is an arithmetic number, because the mean of its divisors is an integer number (3068739002301).

Almost surely, 2^{6137478004601} is an apocalyptic number.

It is an amenable number.

6137478004601 is a deficient number, since it is larger than the sum of its proper divisors (1).

6137478004601 is an equidigital number, since it uses as much as digits as its factorization.

6137478004601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 6137478004601 in words is "six trillion, one hundred thirty-seven billion, four hundred seventy-eight million, four thousand, six hundred one".