1613151251712 has 2880 divisors, whose sum is σ = 7020360990720. Its totient is φ = 354734899200.

The previous prime is 1613151251693. The next prime is 1613151251753. The reversal of 1613151251712 is 2171521513161.

1613151251712 is a `hidden beast` number, since 1 + 6 + 131 + 5 + 1 + 2 + 517 + 1 + 2 = 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 319 ways as a sum of consecutive naturals, for example, 14799552714 + ... + 14799552822.

It is an arithmetic number, because the mean of its divisors is an integer number (2437625344).

Almost surely, 2^{1613151251712} is an apocalyptic number.

1613151251712 is a gapful number since it is divisible by the number (12) 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 1613151251712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510180495360).

1613151251712 is an abundant number, since it is smaller than the sum of its proper divisors (5407209739008).

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

1613151251712 is a wasteful number, since it uses less digits than its factorization.

1613151251712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its digits is 12600, while the sum is 36.

Adding to 1613151251712 its reverse (2171521513161), we get a palindrome (3784672764873).

The spelling of 1613151251712 in words is "one trillion, six hundred thirteen billion, one hundred fifty-one million, two hundred fifty-one thousand, seven hundred twelve".