59535436878241 has 9 divisors (see below), whose sum is σ = 60437812807281. Its totient is φ = 58646339017332.

The previous prime is 59535436878223. The next prime is 59535436878251. The reversal of 59535436878241 is 14287863453595.

The square root of 59535436878241 is 7715921.

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

It is not a de Polignac number, because 59535436878241 - 2¹⁷ = 59535436747169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59535436878251) 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, 516909126 + ... + 517024288.

Almost surely, 2^{59535436878241} is an apocalyptic number.

59535436878241 is the 7715921-st square number.

59535436878241 is the 3857961-st centered octagonal number.

It is an amenable number.

59535436878241 is a deficient number, since it is larger than the sum of its proper divisors (902375929040).

59535436878241 is an frugal number, since it uses more digits than its factorization.

59535436878241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230460 (or 115230 counting only the distinct ones).

The product of its digits is 870912000, while the sum is 70.

The spelling of 59535436878241 in words is "fifty-nine trillion, five hundred thirty-five billion, four hundred thirty-six million, eight hundred seventy-eight thousand, two hundred forty-one".