501600401 has 2 divisors, whose sum is σ = 501600402. Its totient is φ = 501600400.

The previous prime is 501600371. The next prime is 501600431. The reversal of 501600401 is 104006105.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (501600371) and next prime (501600431).

It can be written as a sum of positive squares in only one way, i.e., 487349776 + 14250625 = 22076^2 + 3775^2 .

It is a cyclic number.

It is not a de Polignac number, because 501600401 - 2¹⁰ = 501599377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 501600401.

It is not a weakly prime, because it can be changed into another prime (501600431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250800200 + 250800201.

It is an arithmetic number, because the mean of its divisors is an integer number (250800201).

Almost surely, 2^501600401 is an apocalyptic number.

It is an amenable number.

501600401 is a deficient number, since it is larger than the sum of its proper divisors (1).

501600401 is an equidigital number, since it uses as much as digits as its factorization.

501600401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 501600401 is about 22396.4372389896. The cubic root of 501600401 is about 794.5464501568.

Adding to 501600401 its reverse (104006105), we get a palindrome (605606506).

The spelling of 501600401 in words is "five hundred one million, six hundred thousand, four hundred one".