87154342251201 has 27 divisors (see below), whose sum is σ = 126142344771651. Its totient is φ = 57986479291104.

The previous prime is 87154342251167. The next prime is 87154342251203. The reversal of 87154342251201 is 10215224345178.

It is a happy number.

The square root of 87154342251201 is 9335649.

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

87154342251201 is a `hidden beast` number, since 8 + 7 + 1 + 5 + 434 + 2 + 2 + 5 + 1 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83276593611201 + 3877748640000 = 9125601^2 + 1969200^2 .

It is not a de Polignac number, because 87154342251201 - 2¹⁷ = 87154342120129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87154342251203) 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, 15319797165 + ... + 15319802853.

Almost surely, 2^{87154342251201} is an apocalyptic number.

87154342251201 is the 9335649-th square number.

87154342251201 is the 4667825-th centered octagonal number.

It is an amenable number.

87154342251201 is a deficient number, since it is larger than the sum of its proper divisors (38988002520450).

87154342251201 is an frugal number, since it uses more digits than its factorization.

87154342251201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12478 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

Adding to 87154342251201 its reverse (10215224345178), we get a palindrome (97369566596379).

The spelling of 87154342251201 in words is "eighty-seven trillion, one hundred fifty-four billion, three hundred forty-two million, two hundred fifty-one thousand, two hundred one".