254983982526 has 96 divisors (see below), whose sum is σ = 680854120128. Its totient is φ = 67159825920.

The previous prime is 254983982503. The next prime is 254983982527. The reversal of 254983982526 is 625289389452.

254983982526 is a `hidden beast` number, since 2 + 5 + 498 + 3 + 98 + 2 + 52 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254983982527) 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, 1144240 + ... + 1348796.

It is an arithmetic number, because the mean of its divisors is an integer number (7092230418).

Almost surely, 2^254983982526 is an apocalyptic number.

254983982526 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 254983982526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340427060064).

254983982526 is an abundant number, since it is smaller than the sum of its proper divisors (425870137602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

254983982526 is a wasteful number, since it uses less digits than its factorization.

254983982526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205346 (or 205343 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

It can be divided in two parts, 2549839 and 82526, that added together give a triangular number (2632365 = T₂₂₉₄).

The spelling of 254983982526 in words is "two hundred fifty-four billion, nine hundred eighty-three million, nine hundred eighty-two thousand, five hundred twenty-six".