4258661953 has 32 divisors (see below), whose sum is σ = 5313724416. Its totient is φ = 3323308608.

The previous prime is 4258661903. The next prime is 4258662019. The reversal of 4258661953 is 3591668524.

4258661953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4258661953 - 2⁹ = 4258661441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4258661897 and 4258661906.

It is not an unprimeable number, because it can be changed into a prime (4258661903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2560000 + ... + 2561662.

It is an arithmetic number, because the mean of its divisors is an integer number (166053888).

Almost surely, 2^4258661953 is an apocalyptic number.

It is an amenable number.

4258661953 is a deficient number, since it is larger than the sum of its proper divisors (1055062463).

4258661953 is a wasteful number, since it uses less digits than its factorization.

4258661953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053.

The product of its digits is 1555200, while the sum is 49.

The square root of 4258661953 is about 65258.4243833698. The cubic root of 4258661953 is about 1620.9055995681.

The spelling of 4258661953 in words is "four billion, two hundred fifty-eight million, six hundred sixty-one thousand, nine hundred fifty-three".