1561519104 has 176 divisors, whose sum is σ = 4527636480. Its totient is φ = 476651520.

The previous prime is 1561519097. The next prime is 1561519133. The reversal of 1561519104 is 4019151651.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1808977 + ... + 1809839.

Almost surely, 2^1561519104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561519104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263818240).

1561519104 is an abundant number, since it is smaller than the sum of its proper divisors (2966117376).

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

1561519104 is a wasteful number, since it uses less digits than its factorization.

1561519104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The square root of 1561519104 is about 39516.0613421935. The cubic root of 1561519104 is about 1160.1543353906.

The spelling of 1561519104 in words is "one billion, five hundred sixty-one million, five hundred nineteen thousand, one hundred four".