1013405190 has 128 divisors (see below), whose sum is σ = 3038404608. Its totient is φ = 210954240.

The previous prime is 1013405189. The next prime is 1013405201. The reversal of 1013405190 is 915043101.

1013405190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1013405190² = 2053980158237872200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1013405190.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106092 + ... + 115248.

It is an arithmetic number, because the mean of its divisors is an integer number (23737536).

Almost surely, 2^1013405190 is an apocalyptic number.

1013405190 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 1013405190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519202304).

1013405190 is an abundant number, since it is smaller than the sum of its proper divisors (2024999418).

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

1013405190 is a wasteful number, since it uses less digits than its factorization.

1013405190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1013405190 is about 31834.0256643736. The cubic root of 1013405190 is about 1004.4485774795.

Adding to 1013405190 its reverse (915043101), we get a palindrome (1928448291).

The spelling of 1013405190 in words is "one billion, thirteen million, four hundred five thousand, one hundred ninety".