505101597025 has 27 divisors (see below), whose sum is σ = 629732883411. Its totient is φ = 401895149040.

The previous prime is 505101597019. The next prime is 505101597041. The reversal of 505101597025 is 520795101505.

It is a happy number.

The square root of 505101597025 is 710705.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 181836574929 + 323265022096 = 426423^2 + 568564^2 .

It is a de Polignac number, because none of the positive numbers 2^k-505101597025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1090931944 + ... + 1090932406.

Almost surely, 2^505101597025 is an apocalyptic number.

505101597025 is the 710705-th square number.

505101597025 is the 355353-rd centered octagonal number.

It is an amenable number.

505101597025 is a deficient number, since it is larger than the sum of its proper divisors (124631286386).

505101597025 is an frugal number, since it uses more digits than its factorization.

505101597025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 40.

The spelling of 505101597025 in words is "five hundred five billion, one hundred one million, five hundred ninety-seven thousand, twenty-five".