413252514000 has 120 divisors (see below), whose sum is σ = 1443353343432. Its totient is φ = 110200665600.

The previous prime is 413252513963. The next prime is 413252514019. The reversal of 413252514000 is 415252314.

413252514000 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 5 + 251 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51623475264 + 361629038736 = 227208^2 + 601356^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11461237 + ... + 11497236.

Almost surely, 2^413252514000 is an apocalyptic number.

413252514000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413252514000 is an abundant number, since it is smaller than the sum of its proper divisors (1030100829432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413252514000 is a wasteful number, since it uses less digits than its factorization.

413252514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22958502 (or 22958483 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 413252514000 its reverse (415252314), we get a palindrome (413667766314).

The spelling of 413252514000 in words is "four hundred thirteen billion, two hundred fifty-two million, five hundred fourteen thousand".