47311035121 has 45 divisors (see below), whose sum is σ = 57997447179. Its totient is φ = 38588191488.

The previous prime is 47311035119. The next prime is 47311035169. The reversal of 47311035121 is 12153011374.

The square root of 47311035121 is 217511.

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., 11462914225 + 35848120896 = 107065^2 + 189336^2 .

It is not a de Polignac number, because 47311035121 - 2¹ = 47311035119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47311035121.

It is not an unprimeable number, because it can be changed into a prime (47311035221) 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 44 ways as a sum of consecutive naturals, for example, 245134801 + ... + 245134993.

Almost surely, 2^47311035121 is an apocalyptic number.

47311035121 is the 217511-st square number.

47311035121 is the 108756-th centered octagonal number.

It is an amenable number.

47311035121 is a deficient number, since it is larger than the sum of its proper divisors (10686412058).

47311035121 is an frugal number, since it uses more digits than its factorization.

47311035121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 47311035121 its reverse (12153011374), we get a palindrome (59464046495).

The spelling of 47311035121 in words is "forty-seven billion, three hundred eleven million, thirty-five thousand, one hundred twenty-one".