331825537849 has 27 divisors (see below), whose sum is σ = 364904739693. Its totient is φ = 301606898112.

The previous prime is 331825537837. The next prime is 331825537919. The reversal of 331825537849 is 948735528133.

It is a happy number.

The square root of 331825537849 is 576043.

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 33381847849 + 298443690000 = 182707^2 + 546300^2 .

It is not a de Polignac number, because 331825537849 - 2¹⁹ = 331825013561 is a prime.

It is a super-2 number, since 2×331825537849² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331825537793 and 331825537802.

It is not an unprimeable number, because it can be changed into a prime (331825537949) 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, 546664504 + ... + 546665110.

It is an arithmetic number, because the mean of its divisors is an integer number (13514990359).

Almost surely, 2^331825537849 is an apocalyptic number.

331825537849 is the 576043-rd square number.

331825537849 is the 288022-nd centered octagonal number.

It is an amenable number.

331825537849 is a deficient number, since it is larger than the sum of its proper divisors (33079201844).

331825537849 is an frugal number, since it uses more digits than its factorization.

331825537849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 693 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 58.

The spelling of 331825537849 in words is "three hundred thirty-one billion, eight hundred twenty-five million, five hundred thirty-seven thousand, eight hundred forty-nine".