2551763442497 has 2 divisors, whose sum is σ = 2551763442498. Its totient is φ = 2551763442496.

The previous prime is 2551763442469. The next prime is 2551763442533. The reversal of 2551763442497 is 7942443671552.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1722645750016 + 829117692481 = 1312496^2 + 910559^2 .

It is a cyclic number.

It is not a de Polignac number, because 2551763442497 - 2²² = 2551759248193 is a prime.

It is a super-2 number, since 2×2551763442497² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2551763442407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1275881721248 + 1275881721249.

It is an arithmetic number, because the mean of its divisors is an integer number (1275881721249).

Almost surely, 2^{2551763442497} is an apocalyptic number.

It is an amenable number.

2551763442497 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551763442497 is an equidigital number, since it uses as much as digits as its factorization.

2551763442497 is an evil number, because the sum of its binary digits is even.

The product of its digits is 50803200, while the sum is 59.

The spelling of 2551763442497 in words is "two trillion, five hundred fifty-one billion, seven hundred sixty-three million, four hundred forty-two thousand, four hundred ninety-seven".