1313006254560 has 1728 divisors, whose sum is σ = 6288082085376. Its totient is φ = 251763240960.

The previous prime is 1313006254519. The next prime is 1313006254579. The reversal of 1313006254560 is 654526003131.

1313006254560 is a `hidden beast` number, since 1 + 3 + 1 + 30 + 0 + 62 + 5 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 428106147 + ... + 428109213.

It is an arithmetic number, because the mean of its divisors is an integer number (3638936392).

Almost surely, 2^{1313006254560} is an apocalyptic number.

1313006254560 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 1313006254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144041042688).

1313006254560 is an abundant number, since it is smaller than the sum of its proper divisors (4975075830816).

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

1313006254560 is a wasteful number, since it uses less digits than its factorization.

1313006254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1313006254560 in words is "one trillion, three hundred thirteen billion, six million, two hundred fifty-four thousand, five hundred sixty".