400513 has 4 divisors (see below), whose sum is σ = 404740. Its totient is φ = 396288.

The previous prime is 400481. The next prime is 400523. The reversal of 400513 is 315004.

400513 = 447² + 448².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 199809 = 448^2 + 447^2 .

It is a cyclic number.

It is not a de Polignac number, because 400513 - 2⁵ = 400481 is a prime.

It is an Ulam number.

It is a Duffinian number.

400513 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 400493 and 400502.

It is not an unprimeable number, because it can be changed into a prime (400523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1968 + ... + 2161.

It is an arithmetic number, because the mean of its divisors is an integer number (101185).

2⁴⁰⁰⁵¹³ is an apocalyptic number.

400513 is the 448-th centered square number.

It is an amenable number.

400513 is a deficient number, since it is larger than the sum of its proper divisors (4227).

400513 is an equidigital number, since it uses as much as digits as its factorization.

400513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 400513 is about 632.8609641936. The cubic root of 400513 is about 73.7121149861.

Adding to 400513 its reverse (315004), we get a palindrome (715517).

The spelling of 400513 in words is "four hundred thousand, five hundred thirteen".