87547933225 has 45 divisors (see below), whose sum is σ = 117309216277. Its totient is φ = 64801182080.

The previous prime is 87547933211. The next prime is 87547933303. The reversal of 87547933225 is 52233974578.

The square root of 87547933225 is 295885.

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 2047834009 + 85500099216 = 45253^2 + 292404^2 .

It is not a de Polignac number, because 87547933225 - 2¹⁵ = 87547900457 is a prime.

It is a super-3 number, since 3×87547933225³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

Its product of digits (12700800) is a multiple of the sum of its prime divisors (81).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1483863246 + ... + 1483863304.

Almost surely, 2^87547933225 is an apocalyptic number.

87547933225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

87547933225 is the 295885-th square number.

87547933225 is the 147943-rd centered octagonal number.

It is an amenable number.

87547933225 is a deficient number, since it is larger than the sum of its proper divisors (29761283052).

87547933225 is an frugal number, since it uses more digits than its factorization.

87547933225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 81 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 55.

The spelling of 87547933225 in words is "eighty-seven billion, five hundred forty-seven million, nine hundred thirty-three thousand, two hundred twenty-five".