1072513 has 16 divisors (see below), whose sum is σ = 1282176. Its totient is φ = 887040.

The previous prime is 1072471. The next prime is 1072517. The reversal of 1072513 is 3152701.

It is a cyclic number.

It is not a de Polignac number, because 1072513 - 2¹³ = 1064321 is a prime.

It is a Duffinian number.

1072513 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1072517) 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, 4978 + ... + 5188.

It is an arithmetic number, because the mean of its divisors is an integer number (80136).

2^1072513 is an apocalyptic number.

1072513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1072513 is a deficient number, since it is larger than the sum of its proper divisors (209663).

1072513 is a wasteful number, since it uses less digits than its factorization.

1072513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 1072513 is about 1035.6220353005. The cubic root of 1072513 is about 102.3609218258.

The spelling of 1072513 in words is "one million, seventy-two thousand, five hundred thirteen".