507645961 has 3 divisors (see below), whose sum is σ = 507668493. Its totient is φ = 507623430.

The previous prime is 507645937. The next prime is 507645967. The reversal of 507645961 is 169546705.

The square root of 507645961 is 22531.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 169546705 = 5 ⋅33909341.

It is not a de Polignac number, because 507645961 - 2¹⁹ = 507121673 is a prime.

It is a super-2 number, since 2×507645961² = 515408843439227042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507645967) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11266 + ... + 33796.

It is an arithmetic number, because the mean of its divisors is an integer number (169222831).

Almost surely, 2^507645961 is an apocalyptic number.

507645961 is the 22531-st square number.

507645961 is the 11266-th centered octagonal number.

It is an amenable number.

507645961 is a deficient number, since it is larger than the sum of its proper divisors (22532).

507645961 is an frugal number, since it uses more digits than its factorization.

507645961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45062 (or 22531 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The cubic root of 507645961 is about 797.7258125696.

The spelling of 507645961 in words is "five hundred seven million, six hundred forty-five thousand, nine hundred sixty-one".