506093697520 has 160 divisors (see below), whose sum is σ = 1227723920640. Its totient is φ = 193847470080.

The previous prime is 506093697509. The next prime is 506093697563. The reversal of 506093697520 is 25796390605.

It is a super-2 number, since 2×506093697520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152298579 + ... + 152301901.

It is an arithmetic number, because the mean of its divisors is an integer number (7673274504).

Almost surely, 2^506093697520 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 506093697520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613861960320).

506093697520 is an abundant number, since it is smaller than the sum of its proper divisors (721630223120).

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

506093697520 is a wasteful number, since it uses less digits than its factorization.

506093697520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 52.

The spelling of 506093697520 in words is "five hundred six billion, ninety-three million, six hundred ninety-seven thousand, five hundred twenty".