1350288630 has 80 divisors (see below), whose sum is σ = 3649456800. Its totient is φ = 358224768.

The previous prime is 1350288613. The next prime is 1350288647. The reversal of 1350288630 is 368820531.

1350288630 is a `hidden beast` number, since 13 + 5 + 0 + 2 + 8 + 8 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (1350288613) and next prime (1350288647).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157002 + ... + 165378.

It is an arithmetic number, because the mean of its divisors is an integer number (45618210).

Almost surely, 2^1350288630 is an apocalyptic number.

1350288630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350288630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824728400).

1350288630 is an abundant number, since it is smaller than the sum of its proper divisors (2299168170).

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

1350288630 is a wasteful number, since it uses less digits than its factorization.

1350288630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1350288630 is about 36746.2736886341. The cubic root of 1350288630 is about 1105.2882085729.

The spelling of 1350288630 in words is "one billion, three hundred fifty million, two hundred eighty-eight thousand, six hundred thirty".