505258761 has 16 divisors (see below), whose sum is σ = 774646784. Its totient is φ = 286946064.

The previous prime is 505258759. The next prime is 505258763. The reversal of 505258761 is 167852505.

It is an interprime number because it is at equal distance from previous prime (505258759) and next prime (505258763).

It is not a de Polignac number, because 505258761 - 2¹ = 505258759 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505258763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70381 + ... + 77226.

It is an arithmetic number, because the mean of its divisors is an integer number (48415424).

Almost surely, 2^505258761 is an apocalyptic number.

It is an amenable number.

505258761 is a deficient number, since it is larger than the sum of its proper divisors (269388023).

505258761 is a wasteful number, since it uses less digits than its factorization.

505258761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147780.

The product of its (nonzero) digits is 84000, while the sum is 39.

The square root of 505258761 is about 22477.9616736038. The cubic root of 505258761 is about 796.4734148609.

The spelling of 505258761 in words is "five hundred five million, two hundred fifty-eight thousand, seven hundred sixty-one".