1282401125 has 12 divisors (see below), whose sum is σ = 1600936428. Its totient is φ = 1025600600.

The previous prime is 1282401121. The next prime is 1282401151. The reversal of 1282401125 is 5211042821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 41036836 + 1241364289 = 6406^2 + 35233^2 .

It is not a de Polignac number, because 1282401125 - 2² = 1282401121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1282401094 and 1282401103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282401121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398774 + ... + 401976.

It is an arithmetic number, because the mean of its divisors is an integer number (133411369).

Almost surely, 2^1282401125 is an apocalyptic number.

It is an amenable number.

1282401125 is a deficient number, since it is larger than the sum of its proper divisors (318535303).

1282401125 is an frugal number, since it uses more digits than its factorization.

1282401125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6421 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 1282401125 is about 35810.6286596591. The cubic root of 1282401125 is about 1086.4455450543.

Multiplying 1282401125 by its product of nonzero digits (1280), we get a square (1641473440000 = 1281200²).

Adding to 1282401125 its reverse (5211042821), we get a palindrome (6493443946).

The spelling of 1282401125 in words is "one billion, two hundred eighty-two million, four hundred one thousand, one hundred twenty-five".