505251401382 has 384 divisors, whose sum is σ = 1474634004480. Its totient is φ = 126004792320.

The previous prime is 505251401363. The next prime is 505251401411. The reversal of 505251401382 is 283104152505.

505251401382 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 514 + 0 + 138 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90527832 + ... + 90533412.

It is an arithmetic number, because the mean of its divisors is an integer number (3840192720).

Almost surely, 2^505251401382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505251401382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737317002240).

505251401382 is an abundant number, since it is smaller than the sum of its proper divisors (969382603098).

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

505251401382 is a wasteful number, since it uses less digits than its factorization.

505251401382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 505251401382 its reverse (283104152505), we get a palindrome (788355553887).

The spelling of 505251401382 in words is "five hundred five billion, two hundred fifty-one million, four hundred one thousand, three hundred eighty-two".