1133006387461 has 16 divisors (see below), whose sum is σ = 1235567946816. Its totient is φ = 1032660279936.

The previous prime is 1133006387449. The next prime is 1133006387479. The reversal of 1133006387461 is 1647836003311.

It is a cyclic number.

It is not a de Polignac number, because 1133006387461 - 2¹³ = 1133006379269 is a prime.

It is a super-3 number, since 3×1133006387461³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133006387431) 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 in 15 ways as a sum of consecutive naturals, for example, 1591986 + ... + 2190988.

It is an arithmetic number, because the mean of its divisors is an integer number (77222996676).

Almost surely, 2^{1133006387461} is an apocalyptic number.

It is an amenable number.

1133006387461 is a deficient number, since it is larger than the sum of its proper divisors (102561559355).

1133006387461 is a wasteful number, since it uses less digits than its factorization.

1133006387461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600852.

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 1133006387461 in words is "one trillion, one hundred thirty-three billion, six million, three hundred eighty-seven thousand, four hundred sixty-one".