1005111354 has 64 divisors (see below), whose sum is σ = 2222881920. Its totient is φ = 301086720.

The previous prime is 1005111347. The next prime is 1005111361. The reversal of 1005111354 is 4531115001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1005111347) and next prime (1005111361).

It is a self number, because there is not a number n which added to its sum of digits gives 1005111354.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464034 + ... + 466194.

It is an arithmetic number, because the mean of its divisors is an integer number (34732530).

Almost surely, 2^1005111354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005111354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111440960).

1005111354 is an abundant number, since it is smaller than the sum of its proper divisors (1217770566).

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

1005111354 is a wasteful number, since it uses less digits than its factorization.

1005111354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335.

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

The square root of 1005111354 is about 31703.4911957658. The cubic root of 1005111354 is about 1001.7008899996.

Adding to 1005111354 its reverse (4531115001), we get a palindrome (5536226355).

The spelling of 1005111354 in words is "one billion, five million, one hundred eleven thousand, three hundred fifty-four".