1516561408 has 44 divisors (see below), whose sum is σ = 3096243072. Its totient is φ = 742123520.

The previous prime is 1516561379. The next prime is 1516561411. The reversal of 1516561408 is 8041656151.

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 3 ways as a sum of consecutive naturals, for example, 32373 + ... + 63883.

Almost surely, 2^1516561408 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 1516561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548121536).

1516561408 is an abundant number, since it is smaller than the sum of its proper divisors (1579681664).

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

1516561408 is an equidigital number, since it uses as much as digits as its factorization.

1516561408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31578 (or 31560 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 1516561408 is about 38943.0533985203. The cubic root of 1516561408 is about 1148.9117387298.

The spelling of 1516561408 in words is "one billion, five hundred sixteen million, five hundred sixty-one thousand, four hundred eight".