590581491049 has 27 divisors (see below), whose sum is σ = 685302006711. Its totient is φ = 508496448240.

The previous prime is 590581491043. The next prime is 590581491091. The reversal of 590581491049 is 940194185095.

It is a happy number.

The square root of 590581491049 is 768493.

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., 471371499225 + 119209991824 = 686565^2 + 345268^2 .

It is not a de Polignac number, because 590581491049 - 2¹³ = 590581482857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (590581491043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 160613199 + ... + 160616875.

Almost surely, 2^590581491049 is an apocalyptic number.

590581491049 is the 768493-rd square number.

590581491049 is the 384247-th centered octagonal number.

It is an amenable number.

590581491049 is a deficient number, since it is larger than the sum of its proper divisors (94720515662).

590581491049 is an frugal number, since it uses more digits than its factorization.

590581491049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 55.

The spelling of 590581491049 in words is "five hundred ninety billion, five hundred eighty-one million, four hundred ninety-one thousand, forty-nine".