507159046801 has 27 divisors (see below), whose sum is σ = 563909555377. Its totient is φ = 455776640000.

The previous prime is 507159046769. The next prime is 507159046841. The reversal of 507159046801 is 108640951705.

The square root of 507159046801 is 712151.

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

It can be written as a sum of positive squares in 4 ways, for example, as 383409878401 + 123749168400 = 619201^2 + 351780^2 .

It is not a de Polignac number, because 507159046801 - 2⁵ = 507159046769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507159046841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 791199441 + ... + 791200081.

Almost surely, 2^507159046801 is an apocalyptic number.

507159046801 is the 712151-st square number.

507159046801 is the 356076-th centered octagonal number.

It is an amenable number.

507159046801 is a deficient number, since it is larger than the sum of its proper divisors (56750508576).

507159046801 is an frugal number, since it uses more digits than its factorization.

507159046801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

It can be divided in two parts, 50715904 and 6801, that added together give a palindrome (50722705).

The spelling of 507159046801 in words is "five hundred seven billion, one hundred fifty-nine million, forty-six thousand, eight hundred one".