1257561225427 has 24 divisors (see below), whose sum is σ = 1451024339616. Its totient is φ = 1085582624256.

The previous prime is 1257561225421. The next prime is 1257561225469. The reversal of 1257561225427 is 7245221657521.

It is a de Polignac number, because none of the positive numbers 2^k-1257561225427 is a prime.

It is a super-2 number, since 2×1257561225427² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1257561225421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942943 + ... + 1845064.

It is an arithmetic number, because the mean of its divisors is an integer number (60459347484).

Almost surely, 2^{1257561225427} is an apocalyptic number.

1257561225427 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1257561225427 is a deficient number, since it is larger than the sum of its proper divisors (193463114189).

1257561225427 is a wasteful number, since it uses less digits than its factorization.

1257561225427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788207 (or 2788194 counting only the distinct ones).

The product of its digits is 2352000, while the sum is 49.

The spelling of 1257561225427 in words is "one trillion, two hundred fifty-seven billion, five hundred sixty-one million, two hundred twenty-five thousand, four hundred twenty-seven".