251126401 has 6 divisors (see below), whose sum is σ = 265039602. Its totient is φ = 237908880.

The previous prime is 251126347. The next prime is 251126411. The reversal of 251126401 is 104621152.

It can be written as a sum of positive squares in only one way, i.e., 187142400 + 63984001 = 13680^2 + 7999^2 .

It is not a de Polignac number, because 251126401 - 2²³ = 242737793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251126411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347460 + ... + 348181.

It is an arithmetic number, because the mean of its divisors is an integer number (44173267).

Almost surely, 2^251126401 is an apocalyptic number.

It is an amenable number.

251126401 is a deficient number, since it is larger than the sum of its proper divisors (13913201).

251126401 is an equidigital number, since it uses as much as digits as its factorization.

251126401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695679 (or 695660 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 251126401 is about 15846.9681958411. The cubic root of 251126401 is about 630.9052251036.

Adding to 251126401 its reverse (104621152), we get a palindrome (355747553).

It can be divided in two parts, 25112 and 6401, that added together give a palindrome (31513).

The spelling of 251126401 in words is "two hundred fifty-one million, one hundred twenty-six thousand, four hundred one".