2552633523 has 24 divisors (see below), whose sum is σ = 4027763376. Its totient is φ = 1544961600.

The previous prime is 2552633513. The next prime is 2552633539. The reversal of 2552633523 is 3253362552.

2552633523 is a `hidden beast` number, since 25 + 52 + 63 + 3 + 523 = 666.

It is not a de Polignac number, because 2552633523 - 2⁴ = 2552633507 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2552633513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57913 + ... + 91973.

It is an arithmetic number, because the mean of its divisors is an integer number (167823474).

Almost surely, 2^2552633523 is an apocalyptic number.

2552633523 is a deficient number, since it is larger than the sum of its proper divisors (1475129853).

2552633523 is a wasteful number, since it uses less digits than its factorization.

2552633523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34835 (or 34832 counting only the distinct ones).

The product of its digits is 162000, while the sum is 36.

The square root of 2552633523 is about 50523.5937260999. The cubic root of 2552633523 is about 1366.6673614974.

It can be divided in two parts, 25526 and 33523, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 2552633523 in words is "two billion, five hundred fifty-two million, six hundred thirty-three thousand, five hundred twenty-three".