1161056601551 has 16 divisors (see below), whose sum is σ = 1467939138048. Its totient is φ = 891976898400.

The previous prime is 1161056601539. The next prime is 1161056601563. The reversal of 1161056601551 is 1551066501611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1161056601539) and next prime (1161056601563).

It is a de Polignac number, because none of the positive numbers 2^k-1161056601551 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161056601511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106182260 + ... + 106193193.

It is an arithmetic number, because the mean of its divisors is an integer number (91746196128).

Almost surely, 2^{1161056601551} is an apocalyptic number.

1161056601551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1161056601551 is a deficient number, since it is larger than the sum of its proper divisors (306882536497).

1161056601551 is a wasteful number, since it uses less digits than its factorization.

1161056601551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212375542.

The product of its (nonzero) digits is 27000, while the sum is 38.

The spelling of 1161056601551 in words is "one trillion, one hundred sixty-one billion, fifty-six million, six hundred one thousand, five hundred fifty-one".