1130216625761 has 16 divisors (see below), whose sum is σ = 1168980341760. Its totient is φ = 1091599165440.

The previous prime is 1130216625737. The next prime is 1130216625781. The reversal of 1130216625761 is 1675266120311.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1130216625761 - 2³⁰ = 1129142883937 is a prime.

It is a super-2 number, since 2×1130216625761² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1130216625731) 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, 32867585 + ... + 32901953.

It is an arithmetic number, because the mean of its divisors is an integer number (73061271360).

Almost surely, 2^{1130216625761} is an apocalyptic number.

It is an amenable number.

1130216625761 is a deficient number, since it is larger than the sum of its proper divisors (38763715999).

1130216625761 is a wasteful number, since it uses less digits than its factorization.

1130216625761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36464.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 1130216625761 in words is "one trillion, one hundred thirty billion, two hundred sixteen million, six hundred twenty-five thousand, seven hundred sixty-one".