557363146601 has 16 divisors (see below), whose sum is σ = 583629871104. Its totient is φ = 531269161104.

The previous prime is 557363146589. The next prime is 557363146661. The reversal of 557363146601 is 106641363755.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-557363146601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (557363146661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7564400 + ... + 7637726.

It is an arithmetic number, because the mean of its divisors is an integer number (36476866944).

Almost surely, 2^557363146601 is an apocalyptic number.

It is an amenable number.

557363146601 is a deficient number, since it is larger than the sum of its proper divisors (26266724503).

557363146601 is a wasteful number, since it uses less digits than its factorization.

557363146601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74500.

The product of its (nonzero) digits is 1360800, while the sum is 47.

The spelling of 557363146601 in words is "five hundred fifty-seven billion, three hundred sixty-three million, one hundred forty-six thousand, six hundred one".