2562096429025 has 243 divisors, whose sum is σ = 4088832739641. Its totient is φ = 1587644876160.

The previous prime is 2562096429001. The next prime is 2562096429031. The reversal of 2562096429025 is 5209246902652.

The square root of 2562096429025 is 1600655.

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

2562096429025 is digitally balanced in base 2, because in such base 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 35217401569 + 2526879027456 = 187663^2 + 1589616^2 .

It is not a de Polignac number, because 2562096429025 - 2¹³ = 2562096420833 is a prime.

It is a super-2 number, since 2×2562096429025² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 30868631634 + ... + 30868631716.

Almost surely, 2^{2562096429025} is an apocalyptic number.

2562096429025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2562096429025 is the 1600655-th square number.

2562096429025 is the 800328-th centered octagonal number.

It is an amenable number.

2562096429025 is a deficient number, since it is larger than the sum of its proper divisors (1526736310616).

2562096429025 is an equidigital number, since it uses as much as digits as its factorization.

2562096429025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 2562096429025 in words is "two trillion, five hundred sixty-two billion, ninety-six million, four hundred twenty-nine thousand, twenty-five".