42577001 has 2 divisors, whose sum is σ = 42577002. Its totient is φ = 42577000.

The previous prime is 42576991. The next prime is 42577013. The reversal of 42577001 is 10077524.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38875225 + 3701776 = 6235^2 + 1924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42577001 is a prime.

It is a Chen prime.

It is equal to p_2580551 and since 42577001 and 2580551 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (42577021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21288500 + 21288501.

It is an arithmetic number, because the mean of its divisors is an integer number (21288501).

Almost surely, 2^42577001 is an apocalyptic number.

It is an amenable number.

42577001 is a deficient number, since it is larger than the sum of its proper divisors (1).

42577001 is an equidigital number, since it uses as much as digits as its factorization.

42577001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 42577001 is about 6525.1054397611. The cubic root of 42577001 is about 349.1872324251.

The spelling of 42577001 in words is "forty-two million, five hundred seventy-seven thousand, one".