1257084656565 has 16 divisors (see below), whose sum is σ = 2017887039168. Its totient is φ = 668261287296.

The previous prime is 1257084656561. The next prime is 1257084656623. The reversal of 1257084656565 is 5656564807521.

It is not a de Polignac number, because 1257084656565 - 2² = 1257084656561 is a prime.

It is a super-2 number, since 2×1257084656565² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1257084656499 and 1257084656508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257084656561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136486672 + ... + 136495881.

It is an arithmetic number, because the mean of its divisors is an integer number (126117939948).

Almost surely, 2^{1257084656565} is an apocalyptic number.

1257084656565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1257084656565 is a deficient number, since it is larger than the sum of its proper divisors (760802382603).

1257084656565 is a wasteful number, since it uses less digits than its factorization.

1257084656565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272982868.

The product of its (nonzero) digits is 60480000, while the sum is 60.

The spelling of 1257084656565 in words is "one trillion, two hundred fifty-seven billion, eighty-four million, six hundred fifty-six thousand, five hundred sixty-five".