87537524110201 has 27 divisors (see below), whose sum is σ = 98315133130767. Its totient is φ = 77882081259840.

The previous prime is 87537524110187. The next prime is 87537524110229. The reversal of 87537524110201 is 10201142573578.

The square root of 87537524110201 is 9356149.

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., 11449865575225 + 76087658534976 = 3383765^2 + 8722824^2 .

It is not a de Polignac number, because 87537524110201 - 2⁷ = 87537524110073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87537524110301) 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, 4837119985 + ... + 4837138081.

Almost surely, 2^{87537524110201} is an apocalyptic number.

87537524110201 is the 9356149-th square number.

87537524110201 is the 4678075-th centered octagonal number.

It is an amenable number.

87537524110201 is a deficient number, since it is larger than the sum of its proper divisors (10777609020566).

87537524110201 is an frugal number, since it uses more digits than its factorization.

87537524110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36310 (or 18155 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 46.

Adding to 87537524110201 its reverse (10201142573578), we get a palindrome (97738666683779).

The spelling of 87537524110201 in words is "eighty-seven trillion, five hundred thirty-seven billion, five hundred twenty-four million, one hundred ten thousand, two hundred one".