1315511100540 has 288 divisors, whose sum is σ = 4913728799616. Its totient is φ = 277417820160.

The previous prime is 1315511100503. The next prime is 1315511100649. The reversal of 1315511100540 is 450011155131.

1315511100540 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 5 + 1 + 110 + 0 + 540 = 666.

It is a congruent 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, 34067484 + ... + 34106076.

It is an arithmetic number, because the mean of its divisors is an integer number (17061558332).

Almost surely, 2^{1315511100540} is an apocalyptic number.

1315511100540 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 1315511100540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456864399808).

1315511100540 is an abundant number, since it is smaller than the sum of its proper divisors (3598217699076).

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

1315511100540 is a wasteful number, since it uses less digits than its factorization.

1315511100540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40709 (or 40704 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 1315511100540 its reverse (450011155131), we get a palindrome (1765522255671).

The spelling of 1315511100540 in words is "one trillion, three hundred fifteen billion, five hundred eleven million, one hundred thousand, five hundred forty".