254402134311001 has 6 divisors (see below), whose sum is σ = 260456052057450. Its totient is φ = 248485805604288.

The previous prime is 254402134310959. The next prime is 254402134311043. The reversal of 254402134311001 is 100113431204452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (254402134310959) and next prime (254402134311043).

It can be written as a sum of positive squares in only one way, i.e., 251073056731225 + 3329077579776 = 15845285^2 + 1824576^2 .

It is not a de Polignac number, because 254402134311001 - 2⁷ = 254402134310873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (254402134311301) 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, 68794517976 + ... + 68794521673.

It is an arithmetic number, because the mean of its divisors is an integer number (43409342009575).

Almost surely, 2^{254402134311001} is an apocalyptic number.

It is an amenable number.

254402134311001 is a deficient number, since it is larger than the sum of its proper divisors (6053917746449).

254402134311001 is an equidigital number, since it uses as much as digits as its factorization.

254402134311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137589039735 (or 137589039692 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 254402134311001 its reverse (100113431204452), we get a palindrome (354515565515453).

The spelling of 254402134311001 in words is "two hundred fifty-four trillion, four hundred two billion, one hundred thirty-four million, three hundred eleven thousand, one".