413521252000 has 48 divisors (see below), whose sum is σ = 1016021725992. Its totient is φ = 165408499200.

The previous prime is 413521251991. The next prime is 413521252007. The reversal of 413521252000 is 252125314.

It can be written as a sum of positive squares in 4 ways, for example, as 127172118544 + 286349133456 = 356612^2 + 535116^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (413521252007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51686157 + ... + 51694156.

Almost surely, 2^413521252000 is an apocalyptic number.

413521252000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413521252000 is an abundant number, since it is smaller than the sum of its proper divisors (602500473992).

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

413521252000 is a wasteful number, since it uses less digits than its factorization.

413521252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103380338 (or 103380320 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 413521252000 its reverse (252125314), we get a palindrome (413773377314).

The spelling of 413521252000 in words is "four hundred thirteen billion, five hundred twenty-one million, two hundred fifty-two thousand".