2970641838025 has 27 divisors (see below), whose sum is σ = 3745635471669. Its totient is φ = 2337140580000.

The previous prime is 2970641838023. The next prime is 2970641838029. The reversal of 2970641838025 is 5208381460792.

The square root of 2970641838025 is 1723555.

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

2970641838025 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1368331439049 + 1602310398976 = 1169757^2 + 1265824^2 .

It is not a de Polignac number, because 2970641838025 - 2¹ = 2970641838023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2970641838023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 525681450 + ... + 525687100.

It is a 2-persistent number, because it is pandigital, and so is 2⋅2970641838025 = 5941283676050, but 3⋅2970641838025 = 8911925514075 is not.

Almost surely, 2^{2970641838025} is an apocalyptic number.

2970641838025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2970641838025 is the 1723555-th square number.

2970641838025 is the 861778-th centered octagonal number.

It is an amenable number.

2970641838025 is a deficient number, since it is larger than the sum of its proper divisors (774993633644).

2970641838025 is an frugal number, since it uses more digits than its factorization.

2970641838025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11434 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 2970641838025 in words is "two trillion, nine hundred seventy billion, six hundred forty-one million, eight hundred thirty-eight thousand, twenty-five".