507163385232 has 180 divisors, whose sum is σ = 1656299973276. Its totient is φ = 144446077440.

The previous prime is 507163385221. The next prime is 507163385237. The reversal of 507163385232 is 232583361705.

507163385232 is a `hidden beast` number, since 5 + 0 + 7 + 1 + 633 + 8 + 5 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 239332294656 + 267831090576 = 489216^2 + 517524^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (507163385237) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2123382 + ... + 2350122.

Almost surely, 2^507163385232 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 507163385232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828149986638).

507163385232 is an abundant number, since it is smaller than the sum of its proper divisors (1149136588044).

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

507163385232 is a wasteful number, since it uses less digits than its factorization.

507163385232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227086 (or 227070 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 507163385232 in words is "five hundred seven billion, one hundred sixty-three million, three hundred eighty-five thousand, two hundred thirty-two".