413152001520 has 80 divisors (see below), whose sum is σ = 1322086428672. Its totient is φ = 106619869440.

The previous prime is 413152001459. The next prime is 413152001557. The reversal of 413152001520 is 25100251314.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27758152 + ... + 27773031.

Almost surely, 2^413152001520 is an apocalyptic number.

413152001520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413152001520 is an abundant number, since it is smaller than the sum of its proper divisors (908934427152).

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

413152001520 is a wasteful number, since it uses less digits than its factorization.

413152001520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55531230 (or 55531224 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 413152001520 its reverse (25100251314), we get a palindrome (438252252834).

The spelling of 413152001520 in words is "four hundred thirteen billion, one hundred fifty-two million, one thousand, five hundred twenty".