505361613125 has 10 divisors (see below), whose sum is σ = 631499872542. Its totient is φ = 404289290000.

The previous prime is 505361613101. The next prime is 505361613161. The reversal of 505361613125 is 521316163505.

It can be written as a sum of positive squares in 5 ways, for example, as 173269890049 + 332091723076 = 416257^2 + 576274^2 .

It is not a de Polignac number, because 505361613125 - 2⁸ = 505361612869 is a prime.

It is a Duffinian number.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 404288666 + ... + 404289915.

Almost surely, 2^505361613125 is an apocalyptic number.

It is an amenable number.

505361613125 is a deficient number, since it is larger than the sum of its proper divisors (126138259417).

505361613125 is an frugal number, since it uses more digits than its factorization.

505361613125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808578601 (or 808578586 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 38.

It can be divided in two parts, 50536 and 1613125, that added together give a palindrome (1663661).

The spelling of 505361613125 in words is "five hundred five billion, three hundred sixty-one million, six hundred thirteen thousand, one hundred twenty-five".