461506601 has 2 divisors, whose sum is σ = 461506602. Its totient is φ = 461506600.

The previous prime is 461506553. The next prime is 461506607. The reversal of 461506601 is 106605164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404050201 + 57456400 = 20101^2 + 7580^2 .

It is a cyclic number.

It is not a de Polignac number, because 461506601 - 2¹⁴ = 461490217 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (461506607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230753300 + 230753301.

It is an arithmetic number, because the mean of its divisors is an integer number (230753301).

Almost surely, 2^461506601 is an apocalyptic number.

It is an amenable number.

461506601 is a deficient number, since it is larger than the sum of its proper divisors (1).

461506601 is an equidigital number, since it uses as much as digits as its factorization.

461506601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 461506601 is about 21482.7046947073. The cubic root of 461506601 is about 772.7861068472.

The spelling of 461506601 in words is "four hundred sixty-one million, five hundred six thousand, six hundred one".