505001010601 has 2 divisors, whose sum is σ = 505001010602. Its totient is φ = 505001010600.

The previous prime is 505001010559. The next prime is 505001010643. The reversal of 505001010601 is 106010100505.

It is a balanced prime because it is at equal distance from previous prime (505001010559) and next prime (505001010643).

It can be written as a sum of positive squares in only one way, i.e., 298749696400 + 206251314201 = 546580^2 + 454149^2 .

It is a cyclic number.

It is not a de Polignac number, because 505001010601 - 2²³ = 504992621993 is a prime.

It is not a weakly prime, because it can be changed into another prime (505001010901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252500505300 + 252500505301.

It is an arithmetic number, because the mean of its divisors is an integer number (252500505301).

Almost surely, 2^505001010601 is an apocalyptic number.

It is an amenable number.

505001010601 is a deficient number, since it is larger than the sum of its proper divisors (1).

505001010601 is an equidigital number, since it uses as much as digits as its factorization.

505001010601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 505001010601 in words is "five hundred five billion, one million, ten thousand, six hundred one".