1315520532000 has 288 divisors, whose sum is σ = 4714123639680. Its totient is φ = 347398617600.

The previous prime is 1315520531933. The next prime is 1315520532013. The reversal of 1315520532000 is 2350255131.

It is a happy number.

1315520532000 is a `hidden beast` number, since 1 + 315 + 5 + 20 + 5 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1315520532000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3530611 + ... + 3885389.

It is an arithmetic number, because the mean of its divisors is an integer number (16368484860).

Almost surely, 2^{1315520532000} is an apocalyptic number.

1315520532000 is a gapful number since it is divisible by the number (10) 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 1315520532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357061819840).

1315520532000 is an abundant number, since it is smaller than the sum of its proper divisors (3398603107680).

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

1315520532000 is a wasteful number, since it uses less digits than its factorization.

1315520532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354913 (or 354892 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 1315520532000 its reverse (2350255131), we get a palindrome (1317870787131).

The spelling of 1315520532000 in words is "one trillion, three hundred fifteen billion, five hundred twenty million, five hundred thirty-two thousand".