1020513 has 16 divisors (see below), whose sum is σ = 1483776. Its totient is φ = 620160.

The previous prime is 1020491. The next prime is 1020517. The reversal of 1020513 is 3150201.

1020513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020513 - 2⁹ = 1020001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1020517) 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, 5248 + ... + 5438.

It is an arithmetic number, because the mean of its divisors is an integer number (92736).

2^1020513 is an apocalyptic number.

1020513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1020513 is a deficient number, since it is larger than the sum of its proper divisors (463263).

1020513 is a wasteful number, since it uses less digits than its factorization.

1020513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1020513 is about 1010.2044347557. The cubic root of 1020513 is about 100.6791438613.

Adding to 1020513 its reverse (3150201), we get a palindrome (4170714).

It can be divided in two parts, 102051 and 3, that multiplied together give a triangular number (306153 = T₇₈₂).

The spelling of 1020513 in words is "one million, twenty thousand, five hundred thirteen".