507270148441 has 9 divisors (see below), whose sum is σ = 590095564149. Its totient is φ = 434798711004.

The previous prime is 507270148387. The next prime is 507270148477. The reversal of 507270148441 is 144841072705.

The square root of 507270148441 is 712229.

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

It is not a de Polignac number, because 507270148441 - 2¹³ = 507270140249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (507270145441) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 4934730 + ... + 5036476.

Almost surely, 2^507270148441 is an apocalyptic number.

507270148441 is the 712229-th square number.

507270148441 is the 356115-th centered octagonal number.

It is an amenable number.

507270148441 is a deficient number, since it is larger than the sum of its proper divisors (82825415708).

507270148441 is an frugal number, since it uses more digits than its factorization.

507270148441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203508 (or 101754 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 43.

The spelling of 507270148441 in words is "five hundred seven billion, two hundred seventy million, one hundred forty-eight thousand, four hundred forty-one".