252205035040373 has 2 divisors, whose sum is σ = 252205035040374. Its totient is φ = 252205035040372.

The previous prime is 252205035040303. The next prime is 252205035040379. The reversal of 252205035040373 is 373040530502252.

252205035040373 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., 209214759490564 + 42990275549809 = 14464258^2 + 6556697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252205035040373 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252205035040373.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252205035040379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126102517520186 + 126102517520187.

It is an arithmetic number, because the mean of its divisors is an integer number (126102517520187).

Almost surely, 2^{252205035040373} is an apocalyptic number.

It is an amenable number.

252205035040373 is a deficient number, since it is larger than the sum of its proper divisors (1).

252205035040373 is an equidigital number, since it uses as much as digits as its factorization.

252205035040373 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756000, while the sum is 41.

The spelling of 252205035040373 in words is "two hundred fifty-two trillion, two hundred five billion, thirty-five million, forty thousand, three hundred seventy-three".