4205313957 has 16 divisors (see below), whose sum is σ = 6178829888. Its totient is φ = 2527701120.

The previous prime is 4205313949. The next prime is 4205313961. The reversal of 4205313957 is 7593135024.

It is a happy number.

It is not a de Polignac number, because 4205313957 - 2³ = 4205313949 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205313967) 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 15 ways as a sum of consecutive naturals, for example, 1252144 + ... + 1255497.

It is an arithmetic number, because the mean of its divisors is an integer number (386176868).

Almost surely, 2^4205313957 is an apocalyptic number.

It is an amenable number.

4205313957 is a deficient number, since it is larger than the sum of its proper divisors (1973515931).

4205313957 is a wasteful number, since it uses less digits than its factorization.

4205313957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507700.

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 4205313957 is about 64848.3920926340. The cubic root of 4205313957 is about 1614.1088108735.

The spelling of 4205313957 in words is "four billion, two hundred five million, three hundred thirteen thousand, nine hundred fifty-seven".