254453223528100 has 81 divisors (see below), whose sum is σ = 553879817282883. Its totient is φ = 101465894573760.

The previous prime is 254453223528079. The next prime is 254453223528103. The reversal of 254453223528100 is 1825322354452.

The square root of 254453223528100 is 15951590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 94495080256164 + 159958143271936 = 9720858^2 + 12647456^2 .

It is a super-2 number, since 2×254453223528100² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (254453223528103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55352015002 + ... + 55352019598.

Almost surely, 2^{254453223528100} is an apocalyptic number.

254453223528100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

254453223528100 is the 15951590-th square number.

It is an amenable number.

254453223528100 is an abundant number, since it is smaller than the sum of its proper divisors (299426593754783).

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

254453223528100 is an frugal number, since it uses more digits than its factorization.

254453223528100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9902 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 46.

The spelling of 254453223528100 in words is "two hundred fifty-four trillion, four hundred fifty-three billion, two hundred twenty-three million, five hundred twenty-eight thousand, one hundred".