2256531541551 has 48 divisors (see below), whose sum is σ = 3983241158208. Its totient is φ = 1201580928000.

The previous prime is 2256531541507. The next prime is 2256531541559. The reversal of 2256531541551 is 1551451356522.

2256531541551 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 53 + 1 + 5 + 41 + 551 = 666.

2256531541551 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2256531541551 - 2⁷ = 2256531541423 is a prime.

It is a super-3 number, since 3×2256531541551³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2256531541497 and 2256531541506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256531541559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10322220 + ... + 10538561.

It is an arithmetic number, because the mean of its divisors is an integer number (82984190796).

Almost surely, 2^{2256531541551} is an apocalyptic number.

2256531541551 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2256531541551 is a deficient number, since it is larger than the sum of its proper divisors (1726709616657).

2256531541551 is a wasteful number, since it uses less digits than its factorization.

2256531541551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20860912 (or 20860909 counting only the distinct ones).

The product of its digits is 900000, while the sum is 45.

The spelling of 2256531541551 in words is "two trillion, two hundred fifty-six billion, five hundred thirty-one million, five hundred forty-one thousand, five hundred fifty-one".