59787550882081 has 27 divisors (see below), whose sum is σ = 68063943998323. Its totient is φ = 52475936060240.

The previous prime is 59787550882043. The next prime is 59787550882219. The reversal of 59787550882081 is 18028805578795.

The square root of 59787550882081 is 7732241.

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., 31351141425681 + 28436409456400 = 5599209^2 + 5332580^2 .

It is not a de Polignac number, because 59787550882081 - 2⁷ = 59787550881953 is a prime.

It is a super-2 number, since 2×59787550882081² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 59787550881995 and 59787550882013.

It is not an unprimeable number, because it can be changed into a prime (59787550882981) 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, 2466572760 + ... + 2466596998.

Almost surely, 2^{59787550882081} is an apocalyptic number.

59787550882081 is the 7732241-st square number.

59787550882081 is the 3866121-st centered octagonal number.

It is an amenable number.

59787550882081 is a deficient number, since it is larger than the sum of its proper divisors (8276393116242).

59787550882081 is an frugal number, since it uses more digits than its factorization.

59787550882081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48558 (or 24279 counting only the distinct ones).

The product of its (nonzero) digits is 451584000, while the sum is 73.

The spelling of 59787550882081 in words is "fifty-nine trillion, seven hundred eighty-seven billion, five hundred fifty million, eight hundred eighty-two thousand, eighty-one".