6005185153401 has 24 divisors (see below), whose sum is σ = 9382151363040. Its totient is φ = 3406486665792.

The previous prime is 6005185153397. The next prime is 6005185153427. The reversal of 6005185153401 is 1043515815006.

It is a happy number.

It is not a de Polignac number, because 6005185153401 - 2² = 6005185153397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6005185153401.

It is not an unprimeable number, because it can be changed into a prime (6005185152401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149073291 + ... + 149113568.

It is an arithmetic number, because the mean of its divisors is an integer number (390922973460).

Almost surely, 2^{6005185153401} is an apocalyptic number.

It is an amenable number.

6005185153401 is a deficient number, since it is larger than the sum of its proper divisors (3376966209639).

6005185153401 is a wasteful number, since it uses less digits than its factorization.

6005185153401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298187013 (or 298187006 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 6005185153401 in words is "six trillion, five billion, one hundred eighty-five million, one hundred fifty-three thousand, four hundred one".