506414010145 has 16 divisors (see below), whose sum is σ = 639702288000. Its totient is φ = 383795653248.

The previous prime is 506414010103. The next prime is 506414010149. The reversal of 506414010145 is 541010414605.

It is a cyclic number.

It is not a de Polignac number, because 506414010145 - 2¹⁹ = 506413485857 is a prime.

It is a super-2 number, since 2×506414010145² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506414010149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3528141 + ... + 3668869.

It is an arithmetic number, because the mean of its divisors is an integer number (39981393000).

Almost surely, 2^506414010145 is an apocalyptic number.

It is an amenable number.

506414010145 is a deficient number, since it is larger than the sum of its proper divisors (133288277855).

506414010145 is a wasteful number, since it uses less digits than its factorization.

506414010145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178632.

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 506414010145 in words is "five hundred six billion, four hundred fourteen million, ten thousand, one hundred forty-five".