1283542560 has 72 divisors (see below), whose sum is σ = 4380093900. Its totient is φ = 342277632.

The previous prime is 1283542501. The next prime is 1283542571. The reversal of 1283542560 is 652453821.

1283542560 is a `hidden beast` number, since 1 + 28 + 35 + 42 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1220244624 + 63297936 = 34932^2 + 7956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444235 + ... + 447114.

Almost surely, 2^1283542560 is an apocalyptic number.

1283542560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1283542560 is an abundant number, since it is smaller than the sum of its proper divisors (3096551340).

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

1283542560 is a wasteful number, since it uses less digits than its factorization.

1283542560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891370 (or 891359 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1283542560 is about 35826.5622129727. The cubic root of 1283542560 is about 1086.7677893190.

The spelling of 1283542560 in words is "one billion, two hundred eighty-three million, five hundred forty-two thousand, five hundred sixty".