4971628981225 has 9 divisors (see below), whose sum is σ = 6164833760983. Its totient is φ = 3977294266120.

The previous prime is 4971628981201. The next prime is 4971628981279. The reversal of 4971628981225 is 5221898261794.

The square root of 4971628981225 is 2229715.

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., 1789786433241 + 3181842547984 = 1337829^2 + 1783772^2 .

It is not a de Polignac number, because 4971628981225 - 2⁷ = 4971628981097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10925604 + ... + 11371546.

Almost surely, 2^{4971628981225} is an apocalyptic number.

4971628981225 is the 2229715-th square number.

4971628981225 is the 1114858-th centered octagonal number.

It is an amenable number.

4971628981225 is a deficient number, since it is larger than the sum of its proper divisors (1193204779758).

4971628981225 is an frugal number, since it uses more digits than its factorization.

4971628981225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891896 (or 445948 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 64.

Multiplying 4971628981225 by its sum of digits (64), we get a square (318184254798400 = 17837720²).

The spelling of 4971628981225 in words is "four trillion, nine hundred seventy-one billion, six hundred twenty-eight million, nine hundred eighty-one thousand, two hundred twenty-five".