413231320252520 has 768 divisors, whose sum is σ = 1196352104693760. Its totient is φ = 125711232768000.

The previous prime is 413231320252501. The next prime is 413231320252537. The reversal of 413231320252520 is 25252023132314.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117495397802 + ... + 117495401318.

It is an arithmetic number, because the mean of its divisors is an integer number (1557750136320).

Almost surely, 2^{413231320252520} is an apocalyptic number.

413231320252520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413231320252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598176052346880).

413231320252520 is an abundant number, since it is smaller than the sum of its proper divisors (783120784441240).

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

413231320252520 is a wasteful number, since it uses less digits than its factorization.

413231320252520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 413231320252520 its reverse (25252023132314), we get a palindrome (438483343384834).

The spelling of 413231320252520 in words is "four hundred thirteen trillion, two hundred thirty-one billion, three hundred twenty million, two hundred fifty-two thousand, five hundred twenty".