251050100401 has 9 divisors (see below), whose sum is σ = 264968740953. Its totient is φ = 237827918340.

The previous prime is 251050100393. The next prime is 251050100417. The reversal of 251050100401 is 104001050152.

The square root of 251050100401 is 501049.

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

It is not a de Polignac number, because 251050100401 - 2³ = 251050100393 is a prime.

It is a super-2 number, since 2×251050100401² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251050100461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9506746 + ... + 9533116.

It is an arithmetic number, because the mean of its divisors is an integer number (29440971217).

Almost surely, 2^251050100401 is an apocalyptic number.

251050100401 is the 501049-th square number.

251050100401 is the 250525-th centered octagonal number.

It is an amenable number.

251050100401 is a deficient number, since it is larger than the sum of its proper divisors (13918640552).

251050100401 is an frugal number, since it uses more digits than its factorization.

251050100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52780 (or 26390 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 251050100401 its reverse (104001050152), we get a palindrome (355051150553).

The spelling of 251050100401 in words is "two hundred fifty-one billion, fifty million, one hundred thousand, four hundred one".