506145861 has 32 divisors (see below), whose sum is σ = 827245440. Its totient is φ = 303868800.

The previous prime is 506145847. The next prime is 506145901. The reversal of 506145861 is 168541605.

506145861 is a `hidden beast` number, since 506 + 145 + 8 + 6 + 1 = 666.

It is not a de Polignac number, because 506145861 - 2¹³ = 506137669 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506145841) 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, 3195 + ... + 31976.

It is an arithmetic number, because the mean of its divisors is an integer number (25851420).

Almost surely, 2^506145861 is an apocalyptic number.

It is an amenable number.

506145861 is a deficient number, since it is larger than the sum of its proper divisors (321099579).

506145861 is a wasteful number, since it uses less digits than its factorization.

506145861 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35234 (or 35228 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 506145861 is about 22497.6856809762. The cubic root of 506145861 is about 796.9392741513.

The spelling of 506145861 in words is "five hundred six million, one hundred forty-five thousand, eight hundred sixty-one".