531348601 has 27 divisors (see below), whose sum is σ = 642474189. Its totient is φ = 438153408.

The previous prime is 531348563. The next prime is 531348619. The reversal of 531348601 is 106843135.

The square root of 531348601 is 23051.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8037225 + 523311376 = 2835^2 + 22876^2 .

It is not a de Polignac number, because 531348601 - 2¹⁵ = 531315833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (531348641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5970165 + ... + 5970253.

Almost surely, 2^531348601 is an apocalyptic number.

531348601 is the 23051-st square number.

531348601 is the 11526-th centered octagonal number.

It is an amenable number.

531348601 is a deficient number, since it is larger than the sum of its proper divisors (111125588).

531348601 is an frugal number, since it uses more digits than its factorization.

531348601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 531348601 is about 809.9530537238.

The spelling of 531348601 in words is "five hundred thirty-one million, three hundred forty-eight thousand, six hundred one".