515641 has 8 divisors (see below), whose sum is σ = 620480. Its totient is φ = 418608.

The previous prime is 515639. The next prime is 515651. The reversal of 515641 is 146515.

515641 = T₁₀₅ + T₁₀₆ + ... + T₁₆₁.

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

It is not a de Polignac number, because 515641 - 2¹ = 515639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (515611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1806 + ... + 2071.

It is an arithmetic number, because the mean of its divisors is an integer number (77560).

2⁵¹⁵⁶⁴¹ is an apocalyptic number.

It is an amenable number.

515641 is a deficient number, since it is larger than the sum of its proper divisors (104839).

515641 is a wasteful number, since it uses less digits than its factorization.

515641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903.

The product of its digits is 600, while the sum is 22.

The square root of 515641 is about 718.0814717008. The cubic root of 515641 is about 80.1891876643.

It can be divided in two parts, 515 and 641, that added together give a square (1156 = 34²).

The spelling of 515641 in words is "five hundred fifteen thousand, six hundred forty-one".