46513 has 4 divisors (see below), whose sum is σ = 46948. Its totient is φ = 46080.

The previous prime is 46511. The next prime is 46523. The reversal of 46513 is 31564.

46513 = 152² + 153².

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 23409 = 152^2 + 153^2 .

It is a cyclic number.

It is not a de Polignac number, because 46513 - 2¹ = 46511 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (11737).

2⁴⁶⁵¹³ is an apocalyptic number.

46513 is the 153-rd centered square number.

It is an amenable number.

46513 is a deficient number, since it is larger than the sum of its proper divisors (435).

46513 is a wasteful number, since it uses less digits than its factorization.

46513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434.

The product of its digits is 360, while the sum is 19.

The square root of 46513 is about 215.6687274502. The cubic root of 46513 is about 35.9631825239.

The spelling of 46513 in words is "forty-six thousand, five hundred thirteen".