2251957147757 has 2 divisors, whose sum is σ = 2251957147758. Its totient is φ = 2251957147756.

The previous prime is 2251957147717. The next prime is 2251957147777. The reversal of 2251957147757 is 7577417591522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1946655591076 + 305301556681 = 1395226^2 + 552541^2 .

It is a cyclic number.

It is not a de Polignac number, because 2251957147757 - 2⁸ = 2251957147501 is a prime.

It is a super-3 number, since 3×2251957147757³ (a number of 38 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 2251957147757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2251957147717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125978573878 + 1125978573879.

It is an arithmetic number, because the mean of its divisors is an integer number (1125978573879).

Almost surely, 2^{2251957147757} is an apocalyptic number.

It is an amenable number.

2251957147757 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251957147757 is an equidigital number, since it uses as much as digits as its factorization.

2251957147757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 43218000, while the sum is 62.

The spelling of 2251957147757 in words is "two trillion, two hundred fifty-one billion, nine hundred fifty-seven million, one hundred forty-seven thousand, seven hundred fifty-seven".