401513 has 8 divisors (see below), whose sum is σ = 470400. Its totient is φ = 335520.

The previous prime is 401507. The next prime is 401519. The reversal of 401513 is 315104.

It is an interprime number because it is at equal distance from previous prime (401507) and next prime (401519).

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 401513 - 2¹⁴ = 385129 is a prime.

It is a super-2 number, since 2×401513² = 322425378338, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (401519) 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 7 ways as a sum of consecutive naturals, for example, 413 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (58800).

2⁴⁰¹⁵¹³ is an apocalyptic number.

It is an amenable number.

401513 is a deficient number, since it is larger than the sum of its proper divisors (68887).

401513 is a wasteful number, since it uses less digits than its factorization.

401513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 401513 is about 633.6505346009. The cubic root of 401513 is about 73.7734120825.

Adding to 401513 its reverse (315104), we get a palindrome (716617).

The spelling of 401513 in words is "four hundred one thousand, five hundred thirteen".