20002577671249 has 2 divisors, whose sum is σ = 20002577671250. Its totient is φ = 20002577671248.

The previous prime is 20002577671243. The next prime is 20002577671301. The reversal of 20002577671249 is 94217677520002.

It is an a-pointer prime, because the next prime (20002577671301) can be obtained adding 20002577671249 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12139600861249 + 7862976810000 = 3484193^2 + 2804100^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002577671249 - 2²⁹ = 20002040800337 is a prime.

It is a super-2 number, since 2×20002577671249² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20002577671196 and 20002577671205.

It is not a weakly prime, because it can be changed into another prime (20002577671243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10001288835624 + 10001288835625.

It is an arithmetic number, because the mean of its divisors is an integer number (10001288835625).

Almost surely, 2^{20002577671249} is an apocalyptic number.

It is an amenable number.

20002577671249 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002577671249 is an equidigital number, since it uses as much as digits as its factorization.

20002577671249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 20002577671249 in words is "twenty trillion, two billion, five hundred seventy-seven million, six hundred seventy-one thousand, two hundred forty-nine".