87972153201 has 9 divisors (see below), whose sum is σ = 127072173241. Its totient is φ = 58647508932.

The previous prime is 87972153179. The next prime is 87972153211. The reversal of 87972153201 is 10235127978.

The square root of 87972153201 is 296601.

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

87972153201 is a `hidden beast` number, since 8 + 7 + 97 + 21 + 532 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 87972153201 - 2²⁷ = 87837935473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87972153211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 840370 + ... + 939236.

Almost surely, 2^87972153201 is an apocalyptic number.

87972153201 is the 296601-st square number.

87972153201 is the 148301-st centered octagonal number.

It is an amenable number.

87972153201 is a deficient number, since it is larger than the sum of its proper divisors (39100020040).

87972153201 is an frugal number, since it uses more digits than its factorization.

87972153201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197740 (or 98870 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 87972153201 in words is "eighty-seven billion, nine hundred seventy-two million, one hundred fifty-three thousand, two hundred one".