511556401 has 16 divisors (see below), whose sum is σ = 550053504. Its totient is φ = 474050304.

The previous prime is 511556359. The next prime is 511556411. The reversal of 511556401 is 104655115.

It is a happy number.

It is not a de Polignac number, because 511556401 - 2⁷ = 511556273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 511556401.

It is not an unprimeable number, because it can be changed into a prime (511556411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344206 + ... + 345688.

It is an arithmetic number, because the mean of its divisors is an integer number (34378344).

Almost surely, 2^511556401 is an apocalyptic number.

It is an amenable number.

511556401 is a deficient number, since it is larger than the sum of its proper divisors (38497103).

511556401 is a wasteful number, since it uses less digits than its factorization.

511556401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800.

The product of its (nonzero) digits is 3000, while the sum is 28.

The square root of 511556401 is about 22617.6126282152. The cubic root of 511556401 is about 799.7688920970.

It can be divided in two parts, 5115 and 56401, that added together give a palindrome (61516).

The spelling of 511556401 in words is "five hundred eleven million, five hundred fifty-six thousand, four hundred one".