4001225751137 has 2 divisors, whose sum is σ = 4001225751138. Its totient is φ = 4001225751136.

The previous prime is 4001225751109. The next prime is 4001225751181. The reversal of 4001225751137 is 7311575221004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2821136781376 + 1180088969761 = 1679624^2 + 1086319^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001225751137 - 2⁸ = 4001225750881 is a prime.

It is a super-4 number, since 4×4001225751137⁴ (a number of 52 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4001225751137.

It is not a weakly prime, because it can be changed into another prime (4001225751037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000612875568 + 2000612875569.

It is an arithmetic number, because the mean of its divisors is an integer number (2000612875569).

Almost surely, 2^{4001225751137} is an apocalyptic number.

It is an amenable number.

4001225751137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001225751137 is an equidigital number, since it uses as much as digits as its factorization.

4001225751137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 4001225751137 in words is "four trillion, one billion, two hundred twenty-five million, seven hundred fifty-one thousand, one hundred thirty-seven".