1505114013000 has 1024 divisors, whose sum is σ = 5472230400000. Its totient is φ = 341322854400.

The previous prime is 1505114012947. The next prime is 1505114013017. The reversal of 1505114013000 is 3104115051.

It is a happy number.

It is a super-3 number, since 3×1505114013000³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7563386901 + ... + 7563387099.

It is an arithmetic number, because the mean of its divisors is an integer number (5343975000).

Almost surely, 2^{1505114013000} is an apocalyptic number.

1505114013000 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 1505114013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736115200000).

1505114013000 is an abundant number, since it is smaller than the sum of its proper divisors (3967116387000).

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

1505114013000 is a wasteful number, since it uses less digits than its factorization.

1505114013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

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

Adding to 1505114013000 its reverse (3104115051), we get a palindrome (1508218128051).

The spelling of 1505114013000 in words is "one trillion, five hundred five billion, one hundred fourteen million, thirteen thousand".