2541314115252 has 72 divisors (see below), whose sum is σ = 7008057175392. Its totient is φ = 770074200000.

The previous prime is 2541314115233. The next prime is 2541314115259. The reversal of 2541314115252 is 2525114131452.

2541314115252 is a `hidden beast` number, since 2 + 5 + 413 + 1 + 41 + 152 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541314115259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20684002 + ... + 20806502.

It is an arithmetic number, because the mean of its divisors is an integer number (97334127436).

Almost surely, 2^{2541314115252} is an apocalyptic number.

2541314115252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2541314115252 is an abundant number, since it is smaller than the sum of its proper divisors (4466743060140).

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

2541314115252 is a wasteful number, since it uses less digits than its factorization.

2541314115252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174909 (or 174904 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The spelling of 2541314115252 in words is "two trillion, five hundred forty-one billion, three hundred fourteen million, one hundred fifteen thousand, two hundred fifty-two".