31431757001257 has 2 divisors, whose sum is σ = 31431757001258. Its totient is φ = 31431757001256.

The previous prime is 31431757001147. The next prime is 31431757001269. The reversal of 31431757001257 is 75210075713413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31314645210601 + 117111790656 = 5595949^2 + 342216^2 .

It is a cyclic number.

It is not a de Polignac number, because 31431757001257 - 2⁷ = 31431757001129 is a prime.

It is not a weakly prime, because it can be changed into another prime (31431757001287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15715878500628 + 15715878500629.

It is an arithmetic number, because the mean of its divisors is an integer number (15715878500629).

Almost surely, 2^{31431757001257} is an apocalyptic number.

It is an amenable number.

31431757001257 is a deficient number, since it is larger than the sum of its proper divisors (1).

31431757001257 is an equidigital number, since it uses as much as digits as its factorization.

31431757001257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 617400, while the sum is 46.

The spelling of 31431757001257 in words is "thirty-one trillion, four hundred thirty-one billion, seven hundred fifty-seven million, one thousand, two hundred fifty-seven".