505301015625 has 192 divisors, whose sum is σ = 1022791131648. Its totient is φ = 220836000000.

The previous prime is 505301015603. The next prime is 505301015647. The reversal of 505301015625 is 526510103505.

It is an interprime number because it is at equal distance from previous prime (505301015603) and next prime (505301015647).

It is not a de Polignac number, because 505301015625 - 2¹⁹ = 505300491337 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 264139669 + ... + 264141581.

It is an arithmetic number, because the mean of its divisors is an integer number (5327037144).

Almost surely, 2^505301015625 is an apocalyptic number.

It is an amenable number.

505301015625 is an abundant number, since it is smaller than the sum of its proper divisors (517490116023).

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

505301015625 is an frugal number, since it uses more digits than its factorization.

505301015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 505301015625 in words is "five hundred five billion, three hundred one million, fifteen thousand, six hundred twenty-five".