505251365265 has 48 divisors (see below), whose sum is σ = 936466040016. Its totient is φ = 251105280000.

The previous prime is 505251365243. The next prime is 505251365291. The reversal of 505251365265 is 562563152505.

505251365265 is a `hidden beast` number, since 5 + 0 + 5 + 25 + 1 + 365 + 265 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80719628544 + 424531736721 = 284112^2 + 651561^2 .

It is not a de Polignac number, because 505251365265 - 2⁹ = 505251364753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 505251365265.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3192336 + ... + 3346865.

It is an arithmetic number, because the mean of its divisors is an integer number (19509709167).

Almost surely, 2^505251365265 is an apocalyptic number.

It is an amenable number.

505251365265 is a deficient number, since it is larger than the sum of its proper divisors (431214674751).

505251365265 is a wasteful number, since it uses less digits than its factorization.

505251365265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6539330 (or 6539327 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 505251365265 in words is "five hundred five billion, two hundred fifty-one million, three hundred sixty-five thousand, two hundred sixty-five".