657142313 has 2 divisors, whose sum is σ = 657142314. Its totient is φ = 657142312.

The previous prime is 657142307. The next prime is 657142331. The reversal of 657142313 is 313241756.

Together with next prime (657142331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 365689129 + 291453184 = 19123^2 + 17072^2 .

It is a cyclic number.

It is not a de Polignac number, because 657142313 - 2¹⁴ = 657125929 is a prime.

It is a super-3 number, since 3×657142313³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 657142313.

It is not a weakly prime, because it can be changed into another prime (657142333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328571156 + 328571157.

It is an arithmetic number, because the mean of its divisors is an integer number (328571157).

Almost surely, 2^657142313 is an apocalyptic number.

It is an amenable number.

657142313 is a deficient number, since it is larger than the sum of its proper divisors (1).

657142313 is an equidigital number, since it uses as much as digits as its factorization.

657142313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15120, while the sum is 32.

The square root of 657142313 is about 25634.7871651005. The cubic root of 657142313 is about 869.4003499852.

It can be divided in two parts, 6571 and 42313, that added together give a palindrome (48884).

The spelling of 657142313 in words is "six hundred fifty-seven million, one hundred forty-two thousand, three hundred thirteen".