1561034016 has 144 divisors (see below), whose sum is σ = 4670265600. Its totient is φ = 493908480.

The previous prime is 1561033951. The next prime is 1561034087. The reversal of 1561034016 is 6104301651.

1561034016 is a `hidden beast` number, since 1 + 5 + 610 + 3 + 40 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471535 + ... + 474833.

It is an arithmetic number, because the mean of its divisors is an integer number (32432400).

Almost surely, 2^1561034016 is an apocalyptic number.

1561034016 is a gapful number since it is divisible by the number (16) 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 1561034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335132800).

1561034016 is an abundant number, since it is smaller than the sum of its proper divisors (3109231584).

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

1561034016 is a wasteful number, since it uses less digits than its factorization.

1561034016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1561034016 is about 39509.9230067587. The cubic root of 1561034016 is about 1160.0341884494.

Adding to 1561034016 its reverse (6104301651), we get a palindrome (7665335667).

The spelling of 1561034016 in words is "one billion, five hundred sixty-one million, thirty-four thousand, sixteen".