507575080801 has 16 divisors (see below), whose sum is σ = 519832890000. Its totient is φ = 495420127488.

The previous prime is 507575080763. The next prime is 507575080811. The reversal of 507575080801 is 108080575705.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 52221390400 + 455353690401 = 228520^2 + 674799^2 .

It is a cyclic number.

It is not a de Polignac number, because 507575080801 - 2¹⁵ = 507575048033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507575080811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15482575 + ... + 15515323.

It is an arithmetic number, because the mean of its divisors is an integer number (32489555625).

Almost surely, 2^507575080801 is an apocalyptic number.

It is an amenable number.

507575080801 is a deficient number, since it is larger than the sum of its proper divisors (12257809199).

507575080801 is a wasteful number, since it uses less digits than its factorization.

507575080801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34308.

The product of its (nonzero) digits is 392000, while the sum is 46.

The spelling of 507575080801 in words is "five hundred seven billion, five hundred seventy-five million, eighty thousand, eight hundred one".