251220502047457 has 2 divisors, whose sum is σ = 251220502047458. Its totient is φ = 251220502047456.

The previous prime is 251220502047313. The next prime is 251220502047467. The reversal of 251220502047457 is 754740205022152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192832549325056 + 58387952722401 = 13886416^2 + 7641201^2 .

It is a cyclic number.

It is not a de Polignac number, because 251220502047457 - 2²⁷ = 251220367829729 is a prime.

It is a super-2 number, since 2×251220502047457² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (251220502047467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125610251023728 + 125610251023729.

It is an arithmetic number, because the mean of its divisors is an integer number (125610251023729).

Almost surely, 2^{251220502047457} is an apocalyptic number.

It is an amenable number.

251220502047457 is a deficient number, since it is larger than the sum of its proper divisors (1).

251220502047457 is an equidigital number, since it uses as much as digits as its factorization.

251220502047457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1568000, while the sum is 46.

The spelling of 251220502047457 in words is "two hundred fifty-one trillion, two hundred twenty billion, five hundred two million, forty-seven thousand, four hundred fifty-seven".