483009710121 has 135 divisors (see below), whose sum is σ = 776403574023. Its totient is φ = 299234463840.

The previous prime is 483009710101. The next prime is 483009710137. The reversal of 483009710121 is 121017900384.

It is a happy number.

The square root of 483009710121 is 694989.

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., 348200307225 + 134809402896 = 590085^2 + 367164^2 .

It is not a de Polignac number, because 483009710121 - 2¹⁷ = 483009579049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (483009710101) 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 134 ways as a sum of consecutive naturals, for example, 9113390731 + ... + 9113390783.

Almost surely, 2^483009710121 is an apocalyptic number.

483009710121 is the 694989-th square number.

483009710121 is the 347495-th centered octagonal number.

It is an amenable number.

483009710121 is a deficient number, since it is larger than the sum of its proper divisors (293393863902).

483009710121 is an frugal number, since it uses more digits than its factorization.

483009710121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 483009710121 by its sum of digits (36), we get a square (17388349564356 = 4169934²).

The spelling of 483009710121 in words is "four hundred eighty-three billion, nine million, seven hundred ten thousand, one hundred twenty-one".