505381251 has 24 divisors (see below), whose sum is σ = 699771072. Its totient is φ = 324421200.

The previous prime is 505381213. The next prime is 505381301. The reversal of 505381251 is 152183505.

It is a de Polignac number, because none of the positive numbers 2^k-505381251 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (505381951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884796 + ... + 885366.

It is an arithmetic number, because the mean of its divisors is an integer number (29157128).

Almost surely, 2^505381251 is an apocalyptic number.

505381251 is a deficient number, since it is larger than the sum of its proper divisors (194389821).

505381251 is a wasteful number, since it uses less digits than its factorization.

505381251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 505381251 is about 22480.6861772500. The cubic root of 505381251 is about 796.5377727393.

The spelling of 505381251 in words is "five hundred five million, three hundred eighty-one thousand, two hundred fifty-one".