2506552134912 has 144 divisors (see below), whose sum is σ = 8471218026880. Its totient is φ = 716157739008.

The previous prime is 2506552134899. The next prime is 2506552134913. The reversal of 2506552134912 is 2194312556052.

2506552134912 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 5 + 521 + 34 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506552134913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25854313 + ... + 25951080.

Almost surely, 2^{2506552134912} is an apocalyptic number.

It is an amenable number.

2506552134912 is an abundant number, since it is smaller than the sum of its proper divisors (5964665891968).

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

2506552134912 is an equidigital number, since it uses as much as digits as its factorization.

2506552134912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51805425 (or 51805405 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 2506552134912 in words is "two trillion, five hundred six billion, five hundred fifty-two million, one hundred thirty-four thousand, nine hundred twelve".