73826571033121 has 9 divisors (see below), whose sum is σ = 76285171208883. Its totient is φ = 71444810974560.

The previous prime is 73826571033119. The next prime is 73826571033151. The reversal of 73826571033121 is 12133017562837.

The square root of 73826571033121 is 8592239.

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., 37359465593121 + 36467105440000 = 6112239^2 + 6038800^2 .

It is not a de Polignac number, because 73826571033121 - 2¹ = 73826571033119 is a prime.

It is a super-3 number, since 3×73826571033121³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73826571033151) 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, 266220825 + ... + 266497993.

Almost surely, 2^{73826571033121} is an apocalyptic number.

73826571033121 is the 8592239-th square number.

73826571033121 is the 4296120-th centered octagonal number.

It is an amenable number.

73826571033121 is a deficient number, since it is larger than the sum of its proper divisors (2458600175762).

73826571033121 is an frugal number, since it uses more digits than its factorization.

73826571033121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554400 (or 277200 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Adding to 73826571033121 its reverse (12133017562837), we get a palindrome (85959588595958).

The spelling of 73826571033121 in words is "seventy-three trillion, eight hundred twenty-six billion, five hundred seventy-one million, thirty-three thousand, one hundred twenty-one".