4001257577 has 2 divisors, whose sum is σ = 4001257578. Its totient is φ = 4001257576.

The previous prime is 4001257573. The next prime is 4001257643. The reversal of 4001257577 is 7757521004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3249456016 + 751801561 = 57004^2 + 27419^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001257577 - 2² = 4001257573 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4001257577.

It is not a weakly prime, because it can be changed into another prime (4001257573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000628788 + 2000628789.

It is an arithmetic number, because the mean of its divisors is an integer number (2000628789).

Almost surely, 2^4001257577 is an apocalyptic number.

It is an amenable number.

4001257577 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001257577 is an equidigital number, since it uses as much as digits as its factorization.

4001257577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68600, while the sum is 38.

The square root of 4001257577 is about 63255.4944411946. The cubic root of 4001257577 is about 1587.5673911251.

The spelling of 4001257577 in words is "four billion, one million, two hundred fifty-seven thousand, five hundred seventy-seven".