1577514312313 has 2 divisors, whose sum is σ = 1577514312314. Its totient is φ = 1577514312312.

The previous prime is 1577514312307. The next prime is 1577514312359. The reversal of 1577514312313 is 3132134157751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1253443702329 + 324070609984 = 1119573^2 + 569272^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1577514312313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1577514312313.

It is not a weakly prime, because it can be changed into another prime (1577514312383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 788757156156 + 788757156157.

It is an arithmetic number, because the mean of its divisors is an integer number (788757156157).

Almost surely, 2^{1577514312313} is an apocalyptic number.

It is an amenable number.

1577514312313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1577514312313 is an equidigital number, since it uses as much as digits as its factorization.

1577514312313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 264600, while the sum is 43.

The spelling of 1577514312313 in words is "one trillion, five hundred seventy-seven billion, five hundred fourteen million, three hundred twelve thousand, three hundred thirteen".