1504687700081 has 2 divisors, whose sum is σ = 1504687700082. Its totient is φ = 1504687700080.

The previous prime is 1504687699967. The next prime is 1504687700083. The reversal of 1504687700081 is 1800077864051.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1084545202225 + 420142497856 = 1041415^2 + 648184^2 .

It is a cyclic number.

It is not a de Polignac number, because 1504687700081 - 2³⁸ = 1229809793137 is a prime.

It is a super-2 number, since 2×1504687700081² (a number of 25 digits) contains 22 as substring.

Together with 1504687700083, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1504687699999 and 1504687700035.

It is not a weakly prime, because it can be changed into another prime (1504687700083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 752343850040 + 752343850041.

It is an arithmetic number, because the mean of its divisors is an integer number (752343850041).

Almost surely, 2^{1504687700081} is an apocalyptic number.

It is an amenable number.

1504687700081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1504687700081 is an equidigital number, since it uses as much as digits as its factorization.

1504687700081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 376320, while the sum is 47.

The spelling of 1504687700081 in words is "one trillion, five hundred four billion, six hundred eighty-seven million, seven hundred thousand, eighty-one".