507122532 has 144 divisors (see below), whose sum is σ = 1541601152. Its totient is φ = 142767360.

The previous prime is 507122491. The next prime is 507122533. The reversal of 507122532 is 235221705.

507122532 is a `hidden beast` number, since 5 + 0 + 7 + 122 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 507122496 and 507122505.

It is not an unprimeable number, because it can be changed into a prime (507122533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496182 + ... + 497202.

Almost surely, 2^507122532 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 507122532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770800576).

507122532 is an abundant number, since it is smaller than the sum of its proper divisors (1034478620).

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

507122532 is a wasteful number, since it uses less digits than its factorization.

507122532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 507122532 is about 22519.3812526011. The cubic root of 507122532 is about 797.4515424087.

The spelling of 507122532 in words is "five hundred seven million, one hundred twenty-two thousand, five hundred thirty-two".