413525101520 has 80 divisors (see below), whose sum is σ = 1006794168192. Its totient is φ = 157659025920.

The previous prime is 413525101501. The next prime is 413525101523. The reversal of 413525101520 is 25101525314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413525101523) 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, 123650 + ... + 917790.

Almost surely, 2^413525101520 is an apocalyptic number.

413525101520 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 413525101520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503397084096).

413525101520 is an abundant number, since it is smaller than the sum of its proper divisors (593269066672).

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

413525101520 is a wasteful number, since it uses less digits than its factorization.

413525101520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794460 (or 794454 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 413525101520 its reverse (25101525314), we get a palindrome (438626626834).

The spelling of 413525101520 in words is "four hundred thirteen billion, five hundred twenty-five million, one hundred one thousand, five hundred twenty".