5875967601 has 48 divisors (see below), whose sum is σ = 10282267008. Its totient is φ = 3156595200.

The previous prime is 5875967599. The next prime is 5875967609. The reversal of 5875967601 is 1067695785.

5875967601 is a `hidden beast` number, since 587 + 59 + 6 + 7 + 6 + 0 + 1 = 666.

It is not a de Polignac number, because 5875967601 - 2¹ = 5875967599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5875967609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133746 + ... + 1138916.

It is an arithmetic number, because the mean of its divisors is an integer number (214213896).

Almost surely, 2^5875967601 is an apocalyptic number.

5875967601 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5875967601 is a deficient number, since it is larger than the sum of its proper divisors (4406299407).

5875967601 is a wasteful number, since it uses less digits than its factorization.

5875967601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5875967601 is about 76654.8602568683. The cubic root of 5875967601 is about 1804.5120957300.

The spelling of 5875967601 in words is "five billion, eight hundred seventy-five million, nine hundred sixty-seven thousand, six hundred one".