2505143501056 has 144 divisors (see below), whose sum is σ = 5752715883264. Its totient is φ = 1066531479552.

The previous prime is 2505143501017. The next prime is 2505143501087. The reversal of 2505143501056 is 6501053415052.

It is a happy number.

It is a super-2 number, since 2×2505143501056² (a number of 26 digits) contains 22 as substring.

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, 478352070 + ... + 478357306.

It is an arithmetic number, because the mean of its divisors is an integer number (39949415856).

Almost surely, 2^{2505143501056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505143501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876357941632).

2505143501056 is an abundant number, since it is smaller than the sum of its proper divisors (3247572382208).

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

2505143501056 is a wasteful number, since it uses less digits than its factorization.

2505143501056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6976 (or 6962 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 2505143501056 in words is "two trillion, five hundred five billion, one hundred forty-three million, five hundred one thousand, fifty-six".