1257681097 has 16 divisors (see below), whose sum is σ = 1370736000. Its totient is φ = 1149113088.

The previous prime is 1257681091. The next prime is 1257681121. The reversal of 1257681097 is 7901867521.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1257681097 - 2¹⁹ = 1257156809 is a prime.

It is a super-2 number, since 2×1257681097² = 3163523483502246818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1257681091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311868 + ... + 315874.

It is an arithmetic number, because the mean of its divisors is an integer number (85671000).

Almost surely, 2^1257681097 is an apocalyptic number.

1257681097 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1257681097 is a deficient number, since it is larger than the sum of its proper divisors (113054903).

1257681097 is a wasteful number, since it uses less digits than its factorization.

1257681097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560.

The product of its (nonzero) digits is 211680, while the sum is 46.

The square root of 1257681097 is about 35463.7998105110. The cubic root of 1257681097 is about 1079.4192971584.

The spelling of 1257681097 in words is "one billion, two hundred fifty-seven million, six hundred eighty-one thousand, ninety-seven".