1517991552 has 384 divisors, whose sum is σ = 5531011200. Its totient is φ = 388177920.

The previous prime is 1517991521. The next prime is 1517991569. The reversal of 1517991552 is 2551997151.

It is a happy number.

1517991552 is a `hidden beast` number, since 1 + 5 + 1 + 7 + 9 + 91 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1517991498 and 1517991507.

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, 9668658 + ... + 9668814.

It is an arithmetic number, because the mean of its divisors is an integer number (14403675).

Almost surely, 2^1517991552 is an apocalyptic number.

1517991552 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 1517991552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765505600).

1517991552 is an abundant number, since it is smaller than the sum of its proper divisors (4013019648).

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

1517991552 is a wasteful number, since it uses less digits than its factorization.

1517991552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its digits is 141750, while the sum is 45.

The square root of 1517991552 is about 38961.4110627426. The cubic root of 1517991552 is about 1149.2727732380.

It can be divided in two parts, 151799 and 1552, that added together give a palindrome (153351).

The spelling of 1517991552 in words is "one billion, five hundred seventeen million, nine hundred ninety-one thousand, five hundred fifty-two".