10016513 has 12 divisors (see below), whose sum is σ = 11227860. Its totient is φ = 8872416.

The previous prime is 10016509. The next prime is 10016521. The reversal of 10016513 is 31561001.

It can be written as a sum of positive squares in 2 ways, for example, as 3214849 + 6801664 = 1793^2 + 2608^2 .

It is not a de Polignac number, because 10016513 - 2² = 10016509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10016491 and 10016500.

It is not an unprimeable number, because it can be changed into a prime (10016533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61370 + ... + 61532.

It is an arithmetic number, because the mean of its divisors is an integer number (935655).

Almost surely, 2^10016513 is an apocalyptic number.

10016513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10016513 is a deficient number, since it is larger than the sum of its proper divisors (1211347).

10016513 is an equidigital number, since it uses as much as digits as its factorization.

10016513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 205 counting only the distinct ones).

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

The square root of 10016513 is about 3164.8875177485. The cubic root of 10016513 is about 215.5619910554.

Adding to 10016513 its reverse (31561001), we get a palindrome (41577514).

The spelling of 10016513 in words is "ten million, sixteen thousand, five hundred thirteen".