252047040257 has 2 divisors, whose sum is σ = 252047040258. Its totient is φ = 252047040256.

The previous prime is 252047040233. The next prime is 252047040263. The reversal of 252047040257 is 752040740252.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210365326336 + 41681713921 = 458656^2 + 204161^2 .

It is a cyclic number.

It is not a de Polignac number, because 252047040257 - 2²² = 252042845953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252047040257.

It is not a weakly prime, because it can be changed into another prime (252047043257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126023520128 + 126023520129.

It is an arithmetic number, because the mean of its divisors is an integer number (126023520129).

Almost surely, 2^252047040257 is an apocalyptic number.

It is an amenable number.

252047040257 is a deficient number, since it is larger than the sum of its proper divisors (1).

252047040257 is an equidigital number, since it uses as much as digits as its factorization.

252047040257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 156800, while the sum is 38.

The spelling of 252047040257 in words is "two hundred fifty-two billion, forty-seven million, forty thousand, two hundred fifty-seven".