400520513523213 has 6 divisors (see below), whose sum is σ = 578529630644654. Its totient is φ = 267013675682136.

The previous prime is 400520513523209. The next prime is 400520513523239. The reversal of 400520513523213 is 312325315025004.

400520513523213 is a `hidden beast` number, since 4 + 0 + 0 + 52 + 0 + 513 + 52 + 32 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 368422419314889 + 32098094208324 = 19194333^2 + 5665518^2 .

It is not a de Polignac number, because 400520513523213 - 2² = 400520513523209 is a prime.

It is a super-2 number, since 2×400520513523213² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400520513523413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22251139640170 + ... + 22251139640187.

Almost surely, 2^{400520513523213} is an apocalyptic number.

It is an amenable number.

400520513523213 is a deficient number, since it is larger than the sum of its proper divisors (178009117121441).

400520513523213 is a wasteful number, since it uses less digits than its factorization.

400520513523213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44502279280363 (or 44502279280360 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 400520513523213 its reverse (312325315025004), we get a palindrome (712845828548217).

The spelling of 400520513523213 in words is "four hundred trillion, five hundred twenty billion, five hundred thirteen million, five hundred twenty-three thousand, two hundred thirteen".