507195441 has 9 divisors (see below), whose sum is σ = 732713241. Its totient is φ = 338085252.

The previous prime is 507195439. The next prime is 507195457. The reversal of 507195441 is 144591705.

The square root of 507195441 is 22521.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 507195441 - 2¹ = 507195439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 507195396 and 507195405.

It is not an unprimeable number, because it can be changed into a prime (507195401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63810 + ... + 71316.

Almost surely, 2^507195441 is an apocalyptic number.

507195441 is the 22521-st square number.

507195441 is the 11261-st centered octagonal number.

It is an amenable number.

507195441 is a deficient number, since it is larger than the sum of its proper divisors (225517800).

507195441 is an frugal number, since it uses more digits than its factorization.

507195441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15020 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The cubic root of 507195441 is about 797.4897571101.

Multiplying 507195441 by its sum of digits (36), we get a square (18259035876 = 135126²).

The spelling of 507195441 in words is "five hundred seven million, one hundred ninety-five thousand, four hundred forty-one".