900513 has 6 divisors (see below), whose sum is σ = 1300754. Its totient is φ = 600336.

The previous prime is 900511. The next prime is 900539. The reversal of 900513 is 315009.

It can be written as a sum of positive squares in only one way, i.e., 762129 + 138384 = 873^2 + 372^2 .

It is not a de Polignac number, because 900513 - 2¹ = 900511 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50020 + ... + 50037.

2⁹⁰⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

900513 is a deficient number, since it is larger than the sum of its proper divisors (400241).

900513 is a wasteful number, since it uses less digits than its factorization.

900513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100063 (or 100060 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 900513 is about 948.9536342730. The cubic root of 900513 is about 96.5672792746.

The spelling of 900513 in words is "nine hundred thousand, five hundred thirteen".