35672381257 has 2 divisors, whose sum is σ = 35672381258. Its totient is φ = 35672381256.

The previous prime is 35672381153. The next prime is 35672381293. The reversal of 35672381257 is 75218327653.

35672381257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32280949561 + 3391431696 = 179669^2 + 58236^2 .

It is a cyclic number.

It is not a de Polignac number, because 35672381257 - 2²³ = 35663992649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 35672381257.

It is not a weakly prime, because it can be changed into another prime (35672391257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17836190628 + 17836190629.

It is an arithmetic number, because the mean of its divisors is an integer number (17836190629).

Almost surely, 2^35672381257 is an apocalyptic number.

It is an amenable number.

35672381257 is a deficient number, since it is larger than the sum of its proper divisors (1).

35672381257 is an equidigital number, since it uses as much as digits as its factorization.

35672381257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2116800, while the sum is 49.

The spelling of 35672381257 in words is "thirty-five billion, six hundred seventy-two million, three hundred eighty-one thousand, two hundred fifty-seven".