502125745032 has 320 divisors, whose sum is σ = 1464128265600. Its totient is φ = 160687134720.

The previous prime is 502125745003. The next prime is 502125745127. The reversal of 502125745032 is 230547521205.

502125745032 is a `hidden beast` number, since 5 + 0 + 2 + 1 + 2 + 574 + 50 + 32 = 666.

It is a super-3 number, since 3×502125745032³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 306734518 + ... + 306736154.

It is an arithmetic number, because the mean of its divisors is an integer number (4575400830).

Almost surely, 2^502125745032 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 502125745032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732064132800).

502125745032 is an abundant number, since it is smaller than the sum of its proper divisors (962002520568).

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

502125745032 is a wasteful number, since it uses less digits than its factorization.

502125745032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 502125745032 in words is "five hundred two billion, one hundred twenty-five million, seven hundred forty-five thousand, thirty-two".