487761163201 has 27 divisors (see below), whose sum is σ = 546069774537. Its totient is φ = 435465744480.

The previous prime is 487761163189. The next prime is 487761163271. The reversal of 487761163201 is 102361167784.

The square root of 487761163201 is 698399.

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 90961956801 + 396799206400 = 301599^2 + 629920^2 .

It is not a de Polignac number, because 487761163201 - 2⁷ = 487761163073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (487761163271) 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, 281453931 + ... + 281455663.

Almost surely, 2^487761163201 is an apocalyptic number.

487761163201 is the 698399-th square number.

487761163201 is the 349200-th centered octagonal number.

It is an amenable number.

487761163201 is a deficient number, since it is larger than the sum of its proper divisors (58308611336).

487761163201 is an frugal number, since it uses more digits than its factorization.

487761163201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 487761163201 in words is "four hundred eighty-seven billion, seven hundred sixty-one million, one hundred sixty-three thousand, two hundred one".