1005153114 has 64 divisors (see below), whose sum is σ = 2377654272. Its totient is φ = 277214400.

The previous prime is 1005153073. The next prime is 1005153119. The reversal of 1005153114 is 4113515001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1005153119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703669 + ... + 705095.

It is an arithmetic number, because the mean of its divisors is an integer number (37150848).

Almost surely, 2^1005153114 is an apocalyptic number.

1005153114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005153114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188827136).

1005153114 is an abundant number, since it is smaller than the sum of its proper divisors (1372501158).

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

1005153114 is a wasteful number, since it uses less digits than its factorization.

1005153114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011.

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 1005153114 is about 31704.1497914705. The cubic root of 1005153114 is about 1001.7147625753.

Adding to 1005153114 its reverse (4113515001), we get a palindrome (5118668115).

The spelling of 1005153114 in words is "one billion, five million, one hundred fifty-three thousand, one hundred fourteen".