4004201057 has 2 divisors, whose sum is σ = 4004201058. Its totient is φ = 4004201056.

The previous prime is 4004201053. The next prime is 4004201107. The reversal of 4004201057 is 7501024004.

4004201057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2781929536 + 1222271521 = 52744^2 + 34961^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004201057 - 2² = 4004201053 is a prime.

It is a super-2 number, since 2×4004201057² = 32067252209759834498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4004201053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002100528 + 2002100529.

It is an arithmetic number, because the mean of its divisors is an integer number (2002100529).

Almost surely, 2^4004201057 is an apocalyptic number.

It is an amenable number.

4004201057 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004201057 is an equidigital number, since it uses as much as digits as its factorization.

4004201057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 4004201057 is about 63278.7567592790. The cubic root of 4004201057 is about 1587.9565877189.

The spelling of 4004201057 in words is "four billion, four million, two hundred one thousand, fifty-seven".