1016513000 has 64 divisors (see below), whose sum is σ = 2436754320. Its totient is φ = 396672000.

The previous prime is 1016512999. The next prime is 1016513009. The reversal of 1016513000 is 3156101.

1016513000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 45941284 + 970571716 = 6778^2 + 31154^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1016513000.

It is not an unprimeable number, because it can be changed into a prime (1016513009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28604 + ... + 53396.

Almost surely, 2^1016513000 is an apocalyptic number.

1016513000 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 1016513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218377160).

1016513000 is an abundant number, since it is smaller than the sum of its proper divisors (1420241320).

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

1016513000 is a wasteful number, since it uses less digits than its factorization.

1016513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24855 (or 24841 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 1016513000 is about 31882.8010061851. The cubic root of 1016513000 is about 1005.4743105722.

Adding to 1016513000 its reverse (3156101), we get a palindrome (1019669101).

The spelling of 1016513000 in words is "one billion, sixteen million, five hundred thirteen thousand".