1013434540 has 48 divisors (see below), whose sum is σ = 2252113920. Its totient is φ = 382000320.

The previous prime is 1013434501. The next prime is 1013434561. The reversal of 1013434540 is 454343101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65599 + ... + 79561.

It is an arithmetic number, because the mean of its divisors is an integer number (46919040).

Almost surely, 2^1013434540 is an apocalyptic number.

1013434540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013434540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126056960).

1013434540 is an abundant number, since it is smaller than the sum of its proper divisors (1238679380).

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

1013434540 is a wasteful number, since it uses less digits than its factorization.

1013434540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14182 (or 14180 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1013434540 is about 31834.4866457746. The cubic root of 1013434540 is about 1004.4582742528.

Adding to 1013434540 its reverse (454343101), we get a palindrome (1467777641).

The spelling of 1013434540 in words is "one billion, thirteen million, four hundred thirty-four thousand, five hundred forty".