507105361 has 9 divisors (see below), whose sum is σ = 590081499. Its totient is φ = 434526624.

The previous prime is 507105331. The next prime is 507105367. The reversal of 507105361 is 163501705.

The square root of 507105361 is 22519.

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

It can be written as a sum of positive squares in only one way, i.e., 457318225 + 49787136 = 21385^2 + 7056^2 .

It is not a de Polignac number, because 507105361 - 2⁵ = 507105329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (507105367) 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, 156025 + ... + 159241.

It is an arithmetic number, because the mean of its divisors is an integer number (65564611).

Almost surely, 2^507105361 is an apocalyptic number.

507105361 is the 22519-th square number.

507105361 is the 11260-th centered octagonal number.

It is an amenable number.

507105361 is a deficient number, since it is larger than the sum of its proper divisors (82976138).

507105361 is an frugal number, since it uses more digits than its factorization.

507105361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The cubic root of 507105361 is about 797.4425418259.

The spelling of 507105361 in words is "five hundred seven million, one hundred five thousand, three hundred sixty-one".