251533651711201 has 2 divisors, whose sum is σ = 251533651711202. Its totient is φ = 251533651711200.

The previous prime is 251533651711099. The next prime is 251533651711207. The reversal of 251533651711201 is 102117156335152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132469764221601 + 119063887489600 = 11509551^2 + 10911640^2 .

It is a cyclic number.

It is not a de Polignac number, because 251533651711201 - 2³⁵ = 251499291972833 is a prime.

It is not a weakly prime, because it can be changed into another prime (251533651711207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125766825855600 + 125766825855601.

It is an arithmetic number, because the mean of its divisors is an integer number (125766825855601).

Almost surely, 2^{251533651711201} is an apocalyptic number.

It is an amenable number.

251533651711201 is a deficient number, since it is larger than the sum of its proper divisors (1).

251533651711201 is an equidigital number, since it uses as much as digits as its factorization.

251533651711201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189000, while the sum is 43.

The spelling of 251533651711201 in words is "two hundred fifty-one trillion, five hundred thirty-three billion, six hundred fifty-one million, seven hundred eleven thousand, two hundred one".