505130642532 has 108 divisors (see below), whose sum is σ = 1343074741008. Its totient is φ = 166003765200.

The previous prime is 505130642479. The next prime is 505130642557. The reversal of 505130642532 is 235246031505.

505130642532 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 3 + 0 + 642 + 5 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4848307 + ... + 4951397.

Almost surely, 2^505130642532 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 505130642532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671537370504).

505130642532 is an abundant number, since it is smaller than the sum of its proper divisors (837944098476).

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

505130642532 is a wasteful number, since it uses less digits than its factorization.

505130642532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103252 (or 103167 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 505130642532 in words is "five hundred five billion, one hundred thirty million, six hundred forty-two thousand, five hundred thirty-two".