1181520825 has 96 divisors (see below), whose sum is σ = 2159861760. Its totient is φ = 567321600.

The previous prime is 1181520811. The next prime is 1181520883. The reversal of 1181520825 is 5280251811.

It is not a de Polignac number, because 1181520825 - 2⁵ = 1181520793 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6600586 + ... + 6600764.

It is an arithmetic number, because the mean of its divisors is an integer number (22498560).

Almost surely, 2^1181520825 is an apocalyptic number.

1181520825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1181520825 is a deficient number, since it is larger than the sum of its proper divisors (978340935).

1181520825 is a wasteful number, since it uses less digits than its factorization.

1181520825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 33.

The square root of 1181520825 is about 34373.2574103765. The cubic root of 1181520825 is about 1057.1755902896.

It can be divided in two parts, 11815 and 20825, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 1181520825 in words is "one billion, one hundred eighty-one million, five hundred twenty thousand, eight hundred twenty-five".