2255515101 has 48 divisors (see below), whose sum is σ = 3842302464. Its totient is φ = 1248279552.

The previous prime is 2255515063. The next prime is 2255515109. The reversal of 2255515101 is 1015155522.

2255515101 is a `hidden beast` number, since 2 + 2 + 5 + 551 + 5 + 101 = 666.

It is not a de Polignac number, because 2255515101 - 2⁶ = 2255515037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255515109) 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, 283291 + ... + 291143.

It is an arithmetic number, because the mean of its divisors is an integer number (80047968).

Almost surely, 2^2255515101 is an apocalyptic number.

2255515101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2255515101 is a deficient number, since it is larger than the sum of its proper divisors (1586787363).

2255515101 is a wasteful number, since it uses less digits than its factorization.

2255515101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8010 (or 8007 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The square root of 2255515101 is about 47492.2635910313. The cubic root of 2255515101 is about 1311.4404645232.

The spelling of 2255515101 in words is "two billion, two hundred fifty-five million, five hundred fifteen thousand, one hundred one".