1001877792497 has 2 divisors, whose sum is σ = 1001877792498. Its totient is φ = 1001877792496.

The previous prime is 1001877792473. The next prime is 1001877792499. The reversal of 1001877792497 is 7942977781001.

1001877792497 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., 524015284321 + 477862508176 = 723889^2 + 691276^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001877792497 - 2²⁶ = 1001810683633 is a prime.

It is a super-2 number, since 2×1001877792497² (a number of 25 digits) contains 22 as substring.

Together with 1001877792499, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1001877792499) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500938896248 + 500938896249.

It is an arithmetic number, because the mean of its divisors is an integer number (500938896249).

Almost surely, 2^{1001877792497} is an apocalyptic number.

It is an amenable number.

1001877792497 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001877792497 is an equidigital number, since it uses as much as digits as its factorization.

1001877792497 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12446784, while the sum is 62.

The spelling of 1001877792497 in words is "one trillion, one billion, eight hundred seventy-seven million, seven hundred ninety-two thousand, four hundred ninety-seven".