1121640257 has 2 divisors, whose sum is σ = 1121640258. Its totient is φ = 1121640256.

The previous prime is 1121640139. The next prime is 1121640259. The reversal of 1121640257 is 7520461211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1034329921 + 87310336 = 32161^2 + 9344^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121640257 - 2²⁴ = 1104863041 is a prime.

It is a super-3 number, since 3×1121640257³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 1121640259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1121640259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560820128 + 560820129.

It is an arithmetic number, because the mean of its divisors is an integer number (560820129).

Almost surely, 2^1121640257 is an apocalyptic number.

It is an amenable number.

1121640257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121640257 is an equidigital number, since it uses as much as digits as its factorization.

1121640257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 1121640257 is about 33490.8981217285. The cubic root of 1121640257 is about 1039.0055388468.

The spelling of 1121640257 in words is "one billion, one hundred twenty-one million, six hundred forty thousand, two hundred fifty-seven".