505212001 has 12 divisors (see below), whose sum is σ = 622266948. Its totient is φ = 407565312.

The previous prime is 505211983. The next prime is 505212007. The reversal of 505212001 is 100212505.

It can be written as a sum of positive squares in 2 ways, for example, as 413512225 + 91699776 = 20335^2 + 9576^2 .

It is not a de Polignac number, because 505212001 - 2⁹ = 505211489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505212007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302416 + ... + 304081.

It is an arithmetic number, because the mean of its divisors is an integer number (51855579).

Almost surely, 2^505212001 is an apocalyptic number.

It is an amenable number.

505212001 is a deficient number, since it is larger than the sum of its proper divisors (117054947).

505212001 is a wasteful number, since it uses less digits than its factorization.

505212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606528 (or 606521 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 505212001 is about 22476.9215196388. The cubic root of 505212001 is about 796.4488437904.

Adding to 505212001 its reverse (100212505), we get a palindrome (605424506).

The spelling of 505212001 in words is "five hundred five million, two hundred twelve thousand, one".