2511633541025 has 12 divisors (see below), whose sum is σ = 3559343532672. Its totient is φ = 1722262999440.

The previous prime is 2511633541009. The next prime is 2511633541051. The reversal of 2511633541025 is 5201453361152.

It is not a de Polignac number, because 2511633541025 - 2⁴ = 2511633541009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2511633541025.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7176095657 + ... + 7176096006.

It is an arithmetic number, because the mean of its divisors is an integer number (296611961056).

Almost surely, 2^{2511633541025} is an apocalyptic number.

2511633541025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2511633541025 is a deficient number, since it is larger than the sum of its proper divisors (1047709991647).

2511633541025 is a wasteful number, since it uses less digits than its factorization.

2511633541025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14352191680 (or 14352191675 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 2511633541025 in words is "two trillion, five hundred eleven billion, six hundred thirty-three million, five hundred forty-one thousand, twenty-five".