657040001 has 2 divisors, whose sum is σ = 657040002. Its totient is φ = 657040000.

The previous prime is 657039983. The next prime is 657040031. The reversal of 657040001 is 100040756.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 646379776 + 10660225 = 25424^2 + 3265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-657040001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (657040031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328520000 + 328520001.

It is an arithmetic number, because the mean of its divisors is an integer number (328520001).

Almost surely, 2^657040001 is an apocalyptic number.

It is an amenable number.

657040001 is a deficient number, since it is larger than the sum of its proper divisors (1).

657040001 is an equidigital number, since it uses as much as digits as its factorization.

657040001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 657040001 is about 25632.7915178975. The cubic root of 657040001 is about 869.3552279959.

Adding to 657040001 its reverse (100040756), we get a palindrome (757080757).

The spelling of 657040001 in words is "six hundred fifty-seven million, forty thousand, one".