1312985524050 has 144 divisors (see below), whose sum is σ = 3537185034240. Its totient is φ = 349174955520.

The previous prime is 1312985523953. The next prime is 1312985524087. The reversal of 1312985524050 is 504255892131.

1312985524050 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 9 + 8 + 552 + 40 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1312985523987 and 1312985524005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 341299227 + ... + 341303073.

It is an arithmetic number, because the mean of its divisors is an integer number (24563784960).

Almost surely, 2^{1312985524050} is an apocalyptic number.

1312985524050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312985524050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768592517120).

1312985524050 is an abundant number, since it is smaller than the sum of its proper divisors (2224199510190).

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

1312985524050 is a wasteful number, since it uses less digits than its factorization.

1312985524050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1312985524050 in words is "one trillion, three hundred twelve billion, nine hundred eighty-five million, five hundred twenty-four thousand, fifty".