1007671143541 has 2 divisors, whose sum is σ = 1007671143542. Its totient is φ = 1007671143540.

The previous prime is 1007671143463. The next prime is 1007671143551. The reversal of 1007671143541 is 1453411767001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 788783778225 + 218887365316 = 888135^2 + 467854^2 .

It is an emirp because it is prime and its reverse (1453411767001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1007671143541 - 2¹³ = 1007671135349 is a prime.

It is a super-2 number, since 2×1007671143541² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1007671143494 and 1007671143503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007671143551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503835571770 + 503835571771.

It is an arithmetic number, because the mean of its divisors is an integer number (503835571771).

Almost surely, 2^{1007671143541} is an apocalyptic number.

It is an amenable number.

1007671143541 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007671143541 is an equidigital number, since it uses as much as digits as its factorization.

1007671143541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 1007671143541 in words is "one trillion, seven billion, six hundred seventy-one million, one hundred forty-three thousand, five hundred forty-one".