2511553153125 has 48 divisors (see below), whose sum is σ = 4224773972160. Its totient is φ = 1326975840000.

The previous prime is 2511553153097. The next prime is 2511553153133. The reversal of 2511553153125 is 5213513551152.

It is not a de Polignac number, because 2511553153125 - 2¹⁵ = 2511553120357 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248740 + ... + 2254989.

It is an arithmetic number, because the mean of its divisors is an integer number (88016124420).

Almost surely, 2^{2511553153125} is an apocalyptic number.

2511553153125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2511553153125 is a deficient number, since it is larger than the sum of its proper divisors (1713220819035).

2511553153125 is an equidigital number, since it uses as much as digits as its factorization.

2511553153125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503864 (or 2503844 counting only the distinct ones).

The product of its digits is 112500, while the sum is 39.

The spelling of 2511553153125 in words is "two trillion, five hundred eleven billion, five hundred fifty-three million, one hundred fifty-three thousand, one hundred twenty-five".