981127953 has 24 divisors (see below), whose sum is σ = 1615978728. Its totient is φ = 568253952.

The previous prime is 981127921. The next prime is 981127963. The reversal of 981127953 is 359721189.

It can be written as a sum of positive squares in 4 ways, for example, as 51365889 + 929762064 = 7167^2 + 30492^2 .

It is not a de Polignac number, because 981127953 - 2⁵ = 981127921 is a prime.

It is a super-3 number, since 3×981127953³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 981127899 and 981127908.

It is not an unprimeable number, because it can be changed into a prime (981127963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244650 + ... + 248627.

It is an arithmetic number, because the mean of its divisors is an integer number (67332447).

Almost surely, 2^981127953 is an apocalyptic number.

It is an amenable number.

981127953 is a deficient number, since it is larger than the sum of its proper divisors (634850775).

981127953 is a wasteful number, since it uses less digits than its factorization.

981127953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493313 (or 493310 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 981127953 is about 31322.9620725754. The cubic root of 981127953 is about 993.6693247905.

The spelling of 981127953 in words is "nine hundred eighty-one million, one hundred twenty-seven thousand, nine hundred fifty-three".