6257136401 has 2 divisors, whose sum is σ = 6257136402. Its totient is φ = 6257136400.

The previous prime is 6257136383. The next prime is 6257136419. The reversal of 6257136401 is 1046317526.

It is a balanced prime because it is at equal distance from previous prime (6257136383) and next prime (6257136419).

It can be written as a sum of positive squares in only one way, i.e., 5037450625 + 1219685776 = 70975^2 + 34924^2 .

It is a cyclic number.

It is not a de Polignac number, because 6257136401 - 2⁶ = 6257136337 is a prime.

It is not a weakly prime, because it can be changed into another prime (6257136451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3128568200 + 3128568201.

It is an arithmetic number, because the mean of its divisors is an integer number (3128568201).

Almost surely, 2^6257136401 is an apocalyptic number.

It is an amenable number.

6257136401 is a deficient number, since it is larger than the sum of its proper divisors (1).

6257136401 is an equidigital number, since it uses as much as digits as its factorization.

6257136401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 6257136401 is about 79102.0631905388. The cubic root of 6257136401 is about 1842.7165686789.

The spelling of 6257136401 in words is "six billion, two hundred fifty-seven million, one hundred thirty-six thousand, four hundred one".