501007 has 8 divisors (see below), whose sum is σ = 571536. Its totient is φ = 435072.

The previous prime is 501001. The next prime is 501013. The reversal of 501007 is 700105.

It is an interprime number because it is at equal distance from previous prime (501001) and next prime (501013).

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 501007 - 2¹⁵ = 468239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

501007 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 913 + ... + 1354.

It is an arithmetic number, because the mean of its divisors is an integer number (71442).

2⁵⁰¹⁰⁰⁷ is an apocalyptic number.

501007 is a deficient number, since it is larger than the sum of its proper divisors (70529).

501007 is a wasteful number, since it uses less digits than its factorization.

501007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 501007 is about 707.8184795553. The cubic root of 501007 is about 79.4233006292.

The spelling of 501007 in words is "five hundred one thousand, seven".