1516265000 has 80 divisors (see below), whose sum is σ = 3675464100. Its totient is φ = 585536000.

The previous prime is 1516264987. The next prime is 1516265027. The reversal of 1516265000 is 5626151.

It can be written as a sum of positive squares in 10 ways, for example, as 1965604 + 1514299396 = 1402^2 + 38914^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139772 + ... + 150228.

Almost surely, 2^1516265000 is an apocalyptic number.

1516265000 is a gapful number since it is divisible by the number (10) 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 1516265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837732050).

1516265000 is an abundant number, since it is smaller than the sum of its proper divisors (2159199100).

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

1516265000 is a wasteful number, since it uses less digits than its factorization.

1516265000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 1516265000 is about 38939.2475530794. The cubic root of 1516265000 is about 1148.8368832447.

The spelling of 1516265000 in words is "one billion, five hundred sixteen million, two hundred sixty-five thousand".