1007513 has 8 divisors (see below), whose sum is σ = 1142400. Its totient is φ = 880848.

The previous prime is 1007497. The next prime is 1007519. The reversal of 1007513 is 3157001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007513 - 2⁴ = 1007497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1007491 and 1007500.

It is not an unprimeable number, because it can be changed into a prime (1007519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1793 + ... + 2286.

It is an arithmetic number, because the mean of its divisors is an integer number (142800).

2^1007513 is an apocalyptic number.

1007513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1007513 is a deficient number, since it is larger than the sum of its proper divisors (134887).

1007513 is a wasteful number, since it uses less digits than its factorization.

1007513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 1007513 is about 1003.7494707346. The cubic root of 1007513 is about 100.2498087695.

It can be divided in two parts, 100751 and 3, that multiplied together give a triangular number (302253 = T₇₇₇).

The spelling of 1007513 in words is "one million, seven thousand, five hundred thirteen".