2971193401225 has 81 divisors (see below), whose sum is σ = 4554302286783. Its totient is φ = 1916881397760.

The previous prime is 2971193401177. The next prime is 2971193401229. The reversal of 2971193401225 is 5221043911792.

The square root of 2971193401225 is 1723715.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2296252284921 + 674941116304 = 1515339^2 + 821548^2 .

It is not a de Polignac number, because 2971193401225 - 2¹⁵ = 2971193368457 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2971193401229) 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, 1025608977 + ... + 1025611873.

Almost surely, 2^{2971193401225} is an apocalyptic number.

2971193401225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2971193401225 is the 1723715-th square number.

2971193401225 is the 861858-th centered octagonal number.

It is an amenable number.

2971193401225 is a deficient number, since it is larger than the sum of its proper divisors (1583108885558).

2971193401225 is an frugal number, since it uses more digits than its factorization.

2971193401225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5852 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 2971193401225 in words is "two trillion, nine hundred seventy-one billion, one hundred ninety-three million, four hundred one thousand, two hundred twenty-five".