461007517 has 2 divisors, whose sum is σ = 461007518. Its totient is φ = 461007516.

The previous prime is 461007497. The next prime is 461007523. The reversal of 461007517 is 715700164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309372921 + 151634596 = 17589^2 + 12314^2 .

It is a cyclic number.

It is not a de Polignac number, because 461007517 - 2²⁷ = 326789789 is a prime.

It is equal to p_24404962 and since 461007517 and 24404962 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461007527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230503758 + 230503759.

It is an arithmetic number, because the mean of its divisors is an integer number (230503759).

Almost surely, 2^461007517 is an apocalyptic number.

It is an amenable number.

461007517 is a deficient number, since it is larger than the sum of its proper divisors (1).

461007517 is an equidigital number, since it uses as much as digits as its factorization.

461007517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 461007517 is about 21471.0856036671. The cubic root of 461007517 is about 772.5074367308.

The spelling of 461007517 in words is "four hundred sixty-one million, seven thousand, five hundred seventeen".