505201007 has 2 divisors, whose sum is σ = 505201008. Its totient is φ = 505201006.

The previous prime is 505200989. The next prime is 505201027. The reversal of 505201007 is 700102505.

It is an a-pointer prime, because the next prime (505201027) can be obtained adding 505201007 to its sum of digits (20).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 505201007 - 2²⁶ = 438092143 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505201007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505201027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252600503 + 252600504.

It is an arithmetic number, because the mean of its divisors is an integer number (252600504).

Almost surely, 2^505201007 is an apocalyptic number.

505201007 is a deficient number, since it is larger than the sum of its proper divisors (1).

505201007 is an equidigital number, since it uses as much as digits as its factorization.

505201007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 505201007 is about 22476.6769563474. The cubic root of 505201007 is about 796.4430665312.

The spelling of 505201007 in words is "five hundred five million, two hundred one thousand, seven".