63121035121 has 9 divisors (see below), whose sum is σ = 63419653899. Its totient is φ = 62823819384.

The previous prime is 63121035101. The next prime is 63121035149. The reversal of 63121035121 is 12153012136.

It is a happy number.

The square root of 63121035121 is 251239.

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., 10879533025 + 52241502096 = 104305^2 + 228564^2 .

It is not a de Polignac number, because 63121035121 - 2¹⁹ = 63120510833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63121035101) 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, 69592750 + ... + 69593656.

It is an arithmetic number, because the mean of its divisors is an integer number (7046628211).

Almost surely, 2^63121035121 is an apocalyptic number.

63121035121 is the 251239-th square number.

63121035121 is the 125620-th centered octagonal number.

It is an amenable number.

63121035121 is a deficient number, since it is larger than the sum of its proper divisors (298618778).

63121035121 is an frugal number, since it uses more digits than its factorization.

63121035121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Multiplying 63121035121 by its sum of digits (25), we get a square (1578025878025 = 1256195²).

Adding to 63121035121 its reverse (12153012136), we get a palindrome (75274047257).

The spelling of 63121035121 in words is "sixty-three billion, one hundred twenty-one million, thirty-five thousand, one hundred twenty-one".