405312131053 has 16 divisors (see below), whose sum is σ = 415842062832. Its totient is φ = 394813440000.

The previous prime is 405312131051. The next prime is 405312131057. The reversal of 405312131053 is 350131213504.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10548727849 + 394763403204 = 102707^2 + 628302^2 .

It is a cyclic number.

It is not a de Polignac number, because 405312131053 - 2¹ = 405312131051 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405312131051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132410143 + ... + 132413203.

It is an arithmetic number, because the mean of its divisors is an integer number (25990128927).

Almost surely, 2^405312131053 is an apocalyptic number.

It is an amenable number.

405312131053 is a deficient number, since it is larger than the sum of its proper divisors (10529931779).

405312131053 is a wasteful number, since it uses less digits than its factorization.

405312131053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056.

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 405312131053 its reverse (350131213504), we get a palindrome (755443344557).

The spelling of 405312131053 in words is "four hundred five billion, three hundred twelve million, one hundred thirty-one thousand, fifty-three".