610101257 has 2 divisors, whose sum is σ = 610101258. Its totient is φ = 610101256.

The previous prime is 610101221. The next prime is 610101259. The reversal of 610101257 is 752101016.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363893776 + 246207481 = 19076^2 + 15691^2 .

It is a cyclic number.

It is not a de Polignac number, because 610101257 - 2¹⁶ = 610035721 is a prime.

Together with 610101259, 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 (610101259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305050628 + 305050629.

It is an arithmetic number, because the mean of its divisors is an integer number (305050629).

Almost surely, 2^610101257 is an apocalyptic number.

It is an amenable number.

610101257 is a deficient number, since it is larger than the sum of its proper divisors (1).

610101257 is an equidigital number, since it uses as much as digits as its factorization.

610101257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 610101257 is about 24700.2278734428. The cubic root of 610101257 is about 848.1395326532.

The spelling of 610101257 in words is "six hundred ten million, one hundred one thousand, two hundred fifty-seven".