2562832783225 has 81 divisors (see below), whose sum is σ = 3784135012749. Its totient is φ = 1719734702400.

The previous prime is 2562832783213. The next prime is 2562832783237. The reversal of 2562832783225 is 5223872382652.

It is a happy number.

The square root of 2562832783225 is 1600885.

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

It is an interprime number because it is at equal distance from previous prime (2562832783213) and next prime (2562832783237).

It can be written as a sum of positive squares in 4 ways, for example, as 660573941049 + 1902258842176 = 812757^2 + 1379224^2 .

It is not a de Polignac number, because 2562832783225 - 2¹³ = 2562832775033 is a prime.

It is a super-2 number, since 2×2562832783225² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1144631656 + ... + 1144633894.

Almost surely, 2^{2562832783225} is an apocalyptic number.

2562832783225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2562832783225 is the 1600885-th square number.

2562832783225 is the 800443-rd centered octagonal number.

It is an amenable number.

2562832783225 is a deficient number, since it is larger than the sum of its proper divisors (1221302229524).

2562832783225 is an equidigital number, since it uses as much as digits as its factorization.

2562832783225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536 (or 2268 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 55.

The spelling of 2562832783225 in words is "two trillion, five hundred sixty-two billion, eight hundred thirty-two million, seven hundred eighty-three thousand, two hundred twenty-five".