506656001 has 2 divisors, whose sum is σ = 506656002. Its totient is φ = 506656000.

The previous prime is 506655979. The next prime is 506656019. The reversal of 506656001 is 100656605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 433638976 + 73017025 = 20824^2 + 8545^2 .

It is a cyclic number.

It is not a de Polignac number, because 506656001 - 2¹⁰ = 506654977 is a prime.

It is not a weakly prime, because it can be changed into another prime (506656061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253328000 + 253328001.

It is an arithmetic number, because the mean of its divisors is an integer number (253328001).

Almost surely, 2^506656001 is an apocalyptic number.

It is an amenable number.

506656001 is a deficient number, since it is larger than the sum of its proper divisors (1).

506656001 is an equidigital number, since it uses as much as digits as its factorization.

506656001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 506656001 is about 22509.0204362607. The cubic root of 506656001 is about 797.2069269650.

The spelling of 506656001 in words is "five hundred six million, six hundred fifty-six thousand, one".