2556241380625 has 45 divisors (see below), whose sum is σ = 3302245106589. Its totient is φ = 1978066290000.

The previous prime is 2556241380613. The next prime is 2556241380631. The reversal of 2556241380625 is 5260831426552.

The square root of 2556241380625 is 1598825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 200409324241 + 2355832056384 = 447671^2 + 1534872^2 .

It is not a de Polignac number, because 2556241380625 - 2⁹ = 2556241380113 is a prime.

It is a super-2 number, since 2×2556241380625² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1239088344 + ... + 1239090406.

Almost surely, 2^{2556241380625} is an apocalyptic number.

2556241380625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2556241380625 is the 1598825-th square number.

2556241380625 is the 799413-rd centered octagonal number.

It is an amenable number.

2556241380625 is a deficient number, since it is larger than the sum of its proper divisors (746003725964).

2556241380625 is an frugal number, since it uses more digits than its factorization.

2556241380625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

Multiplying 2556241380625 by its sum of digits (49), we get a square (125255827650625 = 11191775²).

The spelling of 2556241380625 in words is "two trillion, five hundred fifty-six billion, two hundred forty-one million, three hundred eighty thousand, six hundred twenty-five".