58529859531361 has 9 divisors (see below), whose sum is σ = 58574334937401. Its totient is φ = 58485417887232.

The previous prime is 58529859531329. The next prime is 58529859531389. The reversal of 58529859531361 is 16313595892585.

The square root of 58529859531361 is 7650481.

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 77106737761 + 58452752793600 = 277681^2 + 7645440^2 .

It is not a de Polignac number, because 58529859531361 - 2⁵ = 58529859531329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58529859531061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15431018281 + ... + 15431022073.

It is an arithmetic number, because the mean of its divisors is an integer number (6508259437489).

Almost surely, 2^{58529859531361} is an apocalyptic number.

58529859531361 is the 7650481-st square number.

58529859531361 is the 3825241-st centered octagonal number.

It is an amenable number.

58529859531361 is a deficient number, since it is larger than the sum of its proper divisors (44475406040).

58529859531361 is an frugal number, since it uses more digits than its factorization.

58529859531361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11620 (or 5810 counting only the distinct ones).

The product of its digits is 349920000, while the sum is 70.

The spelling of 58529859531361 in words is "fifty-eight trillion, five hundred twenty-nine billion, eight hundred fifty-nine million, five hundred thirty-one thousand, three hundred sixty-one".