1013511345 has 96 divisors (see below), whose sum is σ = 2089691136. Its totient is φ = 414691200.

The previous prime is 1013511329. The next prime is 1013511379. The reversal of 1013511345 is 5431153101.

It is not a de Polignac number, because 1013511345 - 2⁴ = 1013511329 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 540760 + ... + 542630.

It is an arithmetic number, because the mean of its divisors is an integer number (21767616).

Almost surely, 2^1013511345 is an apocalyptic number.

1013511345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1013511345 is an abundant number, since it is smaller than the sum of its proper divisors (1076179791).

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

1013511345 is a wasteful number, since it uses less digits than its factorization.

1013511345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1013511345 is about 31835.6929404717. The cubic root of 1013511345 is about 1004.4836485176.

Adding to 1013511345 its reverse (5431153101), we get a palindrome (6444664446).

The spelling of 1013511345 in words is "one billion, thirteen million, five hundred eleven thousand, three hundred forty-five".