1283617125 has 96 divisors (see below), whose sum is σ = 2742894336. Its totient is φ = 586699200.

The previous prime is 1283617109. The next prime is 1283617129. The reversal of 1283617125 is 5217163821.

1283617125 is a `hidden beast` number, since 1 + 28 + 3 + 617 + 12 + 5 = 666.

It is not a de Polignac number, because 1283617125 - 2⁴ = 1283617109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1283617125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283617129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209607 + ... + 215643.

It is an arithmetic number, because the mean of its divisors is an integer number (28571816).

Almost surely, 2^1283617125 is an apocalyptic number.

1283617125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1283617125 is an abundant number, since it is smaller than the sum of its proper divisors (1459277211).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1283617125 is an frugal number, since it uses more digits than its factorization.

1283617125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074 (or 6052 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1283617125 is about 35827.6028363607. The cubic root of 1283617125 is about 1086.7888334909.

The spelling of 1283617125 in words is "one billion, two hundred eighty-three million, six hundred seventeen thousand, one hundred twenty-five".