506121265 has 16 divisors (see below), whose sum is σ = 660815568. Its totient is φ = 369893376.

The previous prime is 506121241. The next prime is 506121271. The reversal of 506121265 is 562121605.

It can be written as a sum of positive squares in 8 ways, for example, as 78127921 + 427993344 = 8839^2 + 20688^2 .

It is a cyclic number.

It is not a de Polignac number, because 506121265 - 2¹¹ = 506119217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33832 + ... + 46441.

It is an arithmetic number, because the mean of its divisors is an integer number (41300973).

Almost surely, 2^506121265 is an apocalyptic number.

It is an amenable number.

506121265 is a deficient number, since it is larger than the sum of its proper divisors (154694303).

506121265 is a wasteful number, since it uses less digits than its factorization.

506121265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80388.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 506121265 is about 22497.1390403313. The cubic root of 506121265 is about 796.9263649372.

It can be divided in two parts, 506 and 121265, that added together give a triangular number (121771 = T₄₉₃).

The spelling of 506121265 in words is "five hundred six million, one hundred twenty-one thousand, two hundred sixty-five".