2577004143025 has 27 divisors (see below), whose sum is σ = 3460339994211. Its totient is φ = 1902941389440.

The previous prime is 2577004142941. The next prime is 2577004143083. The reversal of 2577004143025 is 5203414007752.

The square root of 2577004143025 is 1605305.

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 1261450198449 + 1315553944576 = 1123143^2 + 1146976^2 .

It is not a de Polignac number, because 2577004143025 - 2⁹ = 2577004142513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104332477 + ... + 104357173.

Almost surely, 2^{2577004143025} is an apocalyptic number.

2577004143025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2577004143025 is the 1605305-th square number.

2577004143025 is the 802653-rd centered octagonal number.

It is an amenable number.

2577004143025 is a deficient number, since it is larger than the sum of its proper divisors (883335851186).

2577004143025 is an frugal number, since it uses more digits than its factorization.

2577004143025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49430 (or 24715 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The spelling of 2577004143025 in words is "two trillion, five hundred seventy-seven billion, four million, one hundred forty-three thousand, twenty-five".