254670613201 has 27 divisors (see below), whose sum is σ = 268006786587. Its totient is φ = 241989288480.

The previous prime is 254670613193. The next prime is 254670613217. The reversal of 254670613201 is 102316076452.

The square root of 254670613201 is 504649.

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

It can be written as a sum of positive squares in only one way, i.e., 144563446225 + 110107166976 = 380215^2 + 331824^2 .

It is not a de Polignac number, because 254670613201 - 2³ = 254670613193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (254670613231) 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, 1142020576 + ... + 1142020798.

It is an arithmetic number, because the mean of its divisors is an integer number (9926177281).

Almost surely, 2^254670613201 is an apocalyptic number.

254670613201 is the 504649-th square number.

254670613201 is the 252325-th centered octagonal number.

It is an amenable number.

254670613201 is a deficient number, since it is larger than the sum of its proper divisors (13336173386).

254670613201 is an frugal number, since it uses more digits than its factorization.

254670613201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 254670613201 its reverse (102316076452), we get a palindrome (356986689653).

The spelling of 254670613201 in words is "two hundred fifty-four billion, six hundred seventy million, six hundred thirteen thousand, two hundred one".