251164800001 has 2 divisors, whose sum is σ = 251164800002. Its totient is φ = 251164800000.

The previous prime is 251164799987. The next prime is 251164800011. The reversal of 251164800001 is 100008461152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169896474225 + 81268325776 = 412185^2 + 285076^2 .

It is a cyclic number.

It is not a de Polignac number, because 251164800001 - 2²⁵ = 251131245569 is a prime.

It is not a weakly prime, because it can be changed into another prime (251164800011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125582400000 + 125582400001.

It is an arithmetic number, because the mean of its divisors is an integer number (125582400001).

Almost surely, 2^251164800001 is an apocalyptic number.

It is an amenable number.

251164800001 is a deficient number, since it is larger than the sum of its proper divisors (1).

251164800001 is an equidigital number, since it uses as much as digits as its factorization.

251164800001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 251164800001 in words is "two hundred fifty-one billion, one hundred sixty-four million, eight hundred thousand, one".