2552035101 has 48 divisors (see below), whose sum is σ = 4389058368. Its totient is φ = 1303948800.

The previous prime is 2552035099. The next prime is 2552035117. The reversal of 2552035101 is 1015302552.

It is a happy number.

It is not a de Polignac number, because 2552035101 - 2¹ = 2552035099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552035601) 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 47 ways as a sum of consecutive naturals, for example, 85701 + ... + 111573.

It is an arithmetic number, because the mean of its divisors is an integer number (91438716).

Almost surely, 2^2552035101 is an apocalyptic number.

2552035101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2552035101 is a deficient number, since it is larger than the sum of its proper divisors (1837023267).

2552035101 is a wasteful number, since it uses less digits than its factorization.

2552035101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25962 (or 25955 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2552035101 is about 50517.6711755401. The cubic root of 2552035101 is about 1366.5605557578.

Adding to 2552035101 its reverse (1015302552), we get a palindrome (3567337653).

The spelling of 2552035101 in words is "two billion, five hundred fifty-two million, thirty-five thousand, one hundred one".