1577139128963 has 64 divisors (see below), whose sum is σ = 1831168327680. Its totient is φ = 1348433049600.

The previous prime is 1577139128947. The next prime is 1577139129011. The reversal of 1577139128963 is 3698219317751.

It is a Cunningham number, because it is equal to 1255842²-1.

It is a cyclic number.

It is not a de Polignac number, because 1577139128963 - 2⁴ = 1577139128947 is a prime.

It is a super-3 number, since 3×1577139128963³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1577139128896 and 1577139128905.

It is not an unprimeable number, because it can be changed into a prime (1577139128933) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661828070 + ... + 661830452.

It is an arithmetic number, because the mean of its divisors is an integer number (28612005120).

Almost surely, 2^{1577139128963} is an apocalyptic number.

1577139128963 is a deficient number, since it is larger than the sum of its proper divisors (254029198717).

1577139128963 is a wasteful number, since it uses less digits than its factorization.

1577139128963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028.

The product of its digits is 17146080, while the sum is 62.

The spelling of 1577139128963 in words is "one trillion, five hundred seventy-seven billion, one hundred thirty-nine million, one hundred twenty-eight thousand, nine hundred sixty-three".