557535335401 has 16 divisors (see below), whose sum is σ = 609848251200. Its totient is φ = 505494823680.

The previous prime is 557535335381. The next prime is 557535335407. The reversal of 557535335401 is 104533535755.

557535335401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 557535335401 - 2¹⁷ = 557535204329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (557535335407) 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, 10716750 + ... + 10768648.

It is an arithmetic number, because the mean of its divisors is an integer number (38115515700).

Almost surely, 2^557535335401 is an apocalyptic number.

It is an amenable number.

557535335401 is a deficient number, since it is larger than the sum of its proper divisors (52312915799).

557535335401 is a wasteful number, since it uses less digits than its factorization.

557535335401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54504.

The product of its (nonzero) digits is 2362500, while the sum is 46.

The spelling of 557535335401 in words is "five hundred fifty-seven billion, five hundred thirty-five million, three hundred thirty-five thousand, four hundred one".