506103829 has 32 divisors (see below), whose sum is σ = 648622080. Its totient is φ = 383496000.

The previous prime is 506103809. The next prime is 506103839. The reversal of 506103829 is 928301605.

It is a cyclic number.

It is not a de Polignac number, because 506103829 - 2⁷ = 506103701 is a prime.

It is a super-2 number, since 2×506103829² = 512282171456922482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506103794 and 506103803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506103809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458292 + ... + 459394.

It is an arithmetic number, because the mean of its divisors is an integer number (20269440).

Almost surely, 2^506103829 is an apocalyptic number.

506103829 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

It is an amenable number.

506103829 is a deficient number, since it is larger than the sum of its proper divisors (142518251).

506103829 is a wasteful number, since it uses less digits than its factorization.

506103829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 506103829 is about 22496.7515210530. The cubic root of 506103829 is about 796.9172133967.

The spelling of 506103829 in words is "five hundred six million, one hundred three thousand, eight hundred twenty-nine".