1613359517952 has 1440 divisors, whose sum is σ = 5921093146752. Its totient is φ = 386006777856.

The previous prime is 1613359517951. The next prime is 1613359517971. The reversal of 1613359517952 is 2597159533161.

It is a junction number, because it is equal to n+sod(n) for n = 1613359517892 and 1613359517901.

It is not an unprimeable number, because it can be changed into a prime (1613359517951) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15078126283 + ... + 15078126389.

Almost surely, 2^{1613359517952} is an apocalyptic number.

1613359517952 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 1613359517952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960546573376).

1613359517952 is an abundant number, since it is smaller than the sum of its proper divisors (4307733628800).

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

1613359517952 is a wasteful number, since it uses less digits than its factorization.

1613359517952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 186 counting only the distinct ones).

The product of its digits is 7654500, while the sum is 57.

The spelling of 1613359517952 in words is "one trillion, six hundred thirteen billion, three hundred fifty-nine million, five hundred seventeen thousand, nine hundred fifty-two".