506413743 has 16 divisors (see below), whose sum is σ = 738371712. Its totient is φ = 306180000.

The previous prime is 506413741. The next prime is 506413753. The reversal of 506413743 is 347314605.

It is not a de Polignac number, because 506413743 - 2¹ = 506413741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506413741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4333 + ... + 32118.

It is an arithmetic number, because the mean of its divisors is an integer number (46148232).

Almost surely, 2^506413743 is an apocalyptic number.

506413743 is a deficient number, since it is larger than the sum of its proper divisors (231957969).

506413743 is a wasteful number, since it uses less digits than its factorization.

506413743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36886.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 506413743 is about 22503.6384391502. The cubic root of 506413743 is about 797.0798449835.

The spelling of 506413743 in words is "five hundred six million, four hundred thirteen thousand, seven hundred forty-three".