505601602532 has 24 divisors (see below), whose sum is σ = 953027489400. Its totient is φ = 233314684416.

The previous prime is 505601602511. The next prime is 505601602547. The reversal of 505601602532 is 235206106505.

It can be written as a sum of positive squares in 4 ways, for example, as 16015914916 + 489585687616 = 126554^2 + 699704^2 .

It is a super-3 number, since 3×505601602532³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 505601602492 and 505601602501.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523157 + ... + 1133532.

It is an arithmetic number, because the mean of its divisors is an integer number (39709478725).

Almost surely, 2^505601602532 is an apocalyptic number.

505601602532 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

505601602532 is a deficient number, since it is larger than the sum of its proper divisors (447425886868).

505601602532 is a wasteful number, since it uses less digits than its factorization.

505601602532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662575 (or 1662573 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 505601602532 in words is "five hundred five billion, six hundred one million, six hundred two thousand, five hundred thirty-two".