7617577920013 has 2 divisors, whose sum is σ = 7617577920014. Its totient is φ = 7617577920012.

The previous prime is 7617577919953. The next prime is 7617577920047. The reversal of 7617577920013 is 3100297757167.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6560985119364 + 1056592800649 = 2561442^2 + 1027907^2 .

It is a cyclic number.

It is not a de Polignac number, because 7617577920013 - 2²¹ = 7617575822861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7617577924013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3808788960006 + 3808788960007.

It is an arithmetic number, because the mean of its divisors is an integer number (3808788960007).

Almost surely, 2^{7617577920013} is an apocalyptic number.

It is an amenable number.

7617577920013 is a deficient number, since it is larger than the sum of its proper divisors (1).

7617577920013 is an equidigital number, since it uses as much as digits as its factorization.

7617577920013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3889620, while the sum is 55.

The spelling of 7617577920013 in words is "seven trillion, six hundred seventeen billion, five hundred seventy-seven million, nine hundred twenty thousand, thirteen".