87581634552036 has 45 divisors (see below), whose sum is σ = 228956133165529. Its totient is φ = 29193822032976.

The previous prime is 87581634552031. The next prime is 87581634552067. The reversal of 87581634552036 is 63025543618578.

The square root of 87581634552036 is 9358506.

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

87581634552036 is a `hidden beast` number, since 8 + 7 + 5 + 8 + 1 + 63 + 45 + 520 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61321585256100 + 26260049295936 = 7830810^2 + 5124456^2 .

It is a super-2 number, since 2×87581634552036² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87581634552031) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 168193150 + ... + 168713066.

Almost surely, 2^{87581634552036} is an apocalyptic number.

87581634552036 is the 9358506-th square number.

It is an amenable number.

87581634552036 is an abundant number, since it is smaller than the sum of its proper divisors (141374498613493).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87581634552036 is an frugal number, since it uses more digits than its factorization.

87581634552036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039850 (or 519922 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 87581634552036 in words is "eighty-seven trillion, five hundred eighty-one billion, six hundred thirty-four million, five hundred fifty-two thousand, thirty-six".