1261146288 has 40 divisors (see below), whose sum is σ = 3270670128. Its totient is φ = 418742272.

The previous prime is 1261146259. The next prime is 1261146319. The reversal of 1261146288 is 8826411621.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38781 + ... + 63452.

Almost surely, 2^1261146288 is an apocalyptic number.

It is an amenable number.

1261146288 is an abundant number, since it is smaller than the sum of its proper divisors (2009523840).

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

1261146288 is a wasteful number, since it uses less digits than its factorization.

1261146288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102501 (or 102495 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 1261146288 is about 35512.6215309431. The cubic root of 1261146288 is about 1080.4097347941.

The spelling of 1261146288 in words is "one billion, two hundred sixty-one million, one hundred forty-six thousand, two hundred eighty-eight".