1257621223601 has 2 divisors, whose sum is σ = 1257621223602. Its totient is φ = 1257621223600.

The previous prime is 1257621223597. The next prime is 1257621223633. The reversal of 1257621223601 is 1063221267521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1225451214001 + 32170009600 = 1107001^2 + 179360^2 .

It is a cyclic number.

It is not a de Polignac number, because 1257621223601 - 2² = 1257621223597 is a prime.

It is a super-2 number, since 2×1257621223601² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1257621223301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628810611800 + 628810611801.

It is an arithmetic number, because the mean of its divisors is an integer number (628810611801).

Almost surely, 2^{1257621223601} is an apocalyptic number.

It is an amenable number.

1257621223601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257621223601 is an equidigital number, since it uses as much as digits as its factorization.

1257621223601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 1257621223601 in words is "one trillion, two hundred fifty-seven billion, six hundred twenty-one million, two hundred twenty-three thousand, six hundred one".