5577761959001 has 2 divisors, whose sum is σ = 5577761959002. Its totient is φ = 5577761959000.

The previous prime is 5577761958953. The next prime is 5577761959039. The reversal of 5577761959001 is 1009591677755.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4908777011776 + 668984947225 = 2215576^2 + 817915^2 .

It is a cyclic number.

It is not a de Polignac number, because 5577761959001 - 2³⁴ = 5560582089817 is a prime.

It is a super-2 number, since 2×5577761959001² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5577761955001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2788880979500 + 2788880979501.

It is an arithmetic number, because the mean of its divisors is an integer number (2788880979501).

Almost surely, 2^{5577761959001} is an apocalyptic number.

It is an amenable number.

5577761959001 is a deficient number, since it is larger than the sum of its proper divisors (1).

5577761959001 is an equidigital number, since it uses as much as digits as its factorization.

5577761959001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20837250, while the sum is 62.

The spelling of 5577761959001 in words is "five trillion, five hundred seventy-seven billion, seven hundred sixty-one million, nine hundred fifty-nine thousand, one".