506151041264 has 160 divisors (see below), whose sum is σ = 1160572385280. Its totient is φ = 211588070400.

The previous prime is 506151041261. The next prime is 506151041281. The reversal of 506151041264 is 462140151605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506151041261) 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, 8651342 + ... + 8709650.

It is an arithmetic number, because the mean of its divisors is an integer number (7253577408).

Almost surely, 2^506151041264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506151041264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580286192640).

506151041264 is an abundant number, since it is smaller than the sum of its proper divisors (654421344016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506151041264 is a wasteful number, since it uses less digits than its factorization.

506151041264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58439 (or 58433 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 506151041264 its reverse (462140151605), we get a palindrome (968291192869).

The spelling of 506151041264 in words is "five hundred six billion, one hundred fifty-one million, forty-one thousand, two hundred sixty-four".