462513 has 8 divisors (see below), whose sum is σ = 621376. Its totient is φ = 306000.

The previous prime is 462499. The next prime is 462529. The reversal of 462513 is 315264.

It is a happy number.

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

It is not a de Polignac number, because 462513 - 2⁵ = 462481 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 4⁴ + 6⁷ + 5⁵ + 2¹¹ + 1 + 3¹¹ .

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 462513.

It is not an unprimeable number, because it can be changed into a prime (462013) 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, 58 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (77672).

2⁴⁶²⁵¹³ is an apocalyptic number.

It is an amenable number.

462513 is a deficient number, since it is larger than the sum of its proper divisors (158863).

462513 is a wasteful number, since it uses less digits than its factorization.

462513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175.

The product of its digits is 720, while the sum is 21.

The square root of 462513 is about 680.0830831597. The cubic root of 462513 is about 77.3347432528.

Adding to 462513 its reverse (315264), we get a palindrome (777777).

It can be divided in two parts, 4 and 62513, that multiplied together give a palindrome (250052).

The spelling of 462513 in words is "four hundred sixty-two thousand, five hundred thirteen".