2213585657 has 6 divisors (see below), whose sum is σ = 2344001994. Its totient is φ = 2083192160.

The previous prime is 2213585653. The next prime is 2213585663. The reversal of 2213585657 is 7565853122.

2213585657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2083374736 + 130210921 = 45644^2 + 11411^2 .

It is not a de Polignac number, because 2213585657 - 2² = 2213585653 is a prime.

It is a super-2 number, since 2×2213585657² = 9799922921752243298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2213585653) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 188282 + ... + 199692.

It is an arithmetic number, because the mean of its divisors is an integer number (390666999).

Almost surely, 2^2213585657 is an apocalyptic number.

It is an amenable number.

2213585657 is a deficient number, since it is larger than the sum of its proper divisors (130416337).

2213585657 is an frugal number, since it uses more digits than its factorization.

2213585657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22839 (or 11428 counting only the distinct ones).

The product of its digits is 504000, while the sum is 44.

The square root of 2213585657 is about 47048.7582939231. The cubic root of 2213585657 is about 1303.2631350802.

The spelling of 2213585657 in words is "two billion, two hundred thirteen million, five hundred eighty-five thousand, six hundred fifty-seven".