531106401 has 32 divisors (see below), whose sum is σ = 860606208. Its totient is φ = 284405760.

The previous prime is 531106397. The next prime is 531106403. The reversal of 531106401 is 104601135.

It is not a de Polignac number, because 531106401 - 2² = 531106397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (531106403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82951 + ... + 89123.

It is an arithmetic number, because the mean of its divisors is an integer number (26893944).

Almost surely, 2^531106401 is an apocalyptic number.

531106401 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

531106401 is a deficient number, since it is larger than the sum of its proper divisors (329499807).

531106401 is a wasteful number, since it uses less digits than its factorization.

531106401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 531106401 is about 23045.7458330166. The cubic root of 531106401 is about 809.8299704077.

Adding to 531106401 its reverse (104601135), we get a palindrome (635707536).

The spelling of 531106401 in words is "five hundred thirty-one million, one hundred six thousand, four hundred one".