4970005881201 has 81 divisors (see below), whose sum is σ = 7457033664171. Its totient is φ = 3189719741184.

The previous prime is 4970005881187. The next prime is 4970005881241. The reversal of 4970005881201 is 1021885000794.

The square root of 4970005881201 is 2229351.

It is a perfect power (a square), and thus also a powerful number.

4970005881201 is a `hidden beast` number, since 49 + 7 + 0 + 0 + 0 + 588 + 1 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2231722271025 + 2738283610176 = 1493895^2 + 1654776^2 .

It is not a de Polignac number, because 4970005881201 - 2⁹ = 4970005880689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4970005881241) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30490833546 + ... + 30490833708.

Almost surely, 2^{4970005881201} is an apocalyptic number.

4970005881201 is the 2229351-st square number.

4970005881201 is the 1114676-th centered octagonal number.

It is an amenable number.

4970005881201 is a deficient number, since it is larger than the sum of its proper divisors (2487027782970).

4970005881201 is an frugal number, since it uses more digits than its factorization.

4970005881201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 4970005881201 in words is "four trillion, nine hundred seventy billion, five million, eight hundred eighty-one thousand, two hundred one".