2521234122401 has 32 divisors (see below), whose sum is σ = 2882108355840. Its totient is φ = 2191150596096.

The previous prime is 2521234122377. The next prime is 2521234122403. The reversal of 2521234122401 is 1042214321252.

It is a cyclic number.

It is not a de Polignac number, because 2521234122401 - 2³⁸ = 2246356215457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2521234122403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98715905 + ... + 98741441.

It is an arithmetic number, because the mean of its divisors is an integer number (90065886120).

Almost surely, 2^{2521234122401} is an apocalyptic number.

It is an amenable number.

2521234122401 is a deficient number, since it is larger than the sum of its proper divisors (360874233439).

2521234122401 is a wasteful number, since it uses less digits than its factorization.

2521234122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34313.

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 2521234122401 its reverse (1042214321252), we get a palindrome (3563448443653).

The spelling of 2521234122401 in words is "two trillion, five hundred twenty-one billion, two hundred thirty-four million, one hundred twenty-two thousand, four hundred one".