2553005103012 has 384 divisors, whose sum is σ = 8413870187520. Its totient is φ = 651556638720.

The previous prime is 2553005103007. The next prime is 2553005103023. The reversal of 2553005103012 is 2103015003552.

It is a happy number.

2553005103012 is a `hidden beast` number, since 2 + 5 + 5 + 300 + 51 + 0 + 301 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37990962 + ... + 38058102.

It is an arithmetic number, because the mean of its divisors is an integer number (21911120280).

Almost surely, 2^{2553005103012} 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 2553005103012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206935093760).

2553005103012 is an abundant number, since it is smaller than the sum of its proper divisors (5860865084508).

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

2553005103012 is a wasteful number, since it uses less digits than its factorization.

2553005103012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67300 (or 67292 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 2553005103012 in words is "two trillion, five hundred fifty-three billion, five million, one hundred three thousand, twelve".