181002956953 has 96 divisors (see below), whose sum is σ = 238626769920. Its totient is φ = 135914526720.

The previous prime is 181002956879. The next prime is 181002956987. The reversal of 181002956953 is 359659200181.

It is not a de Polignac number, because 181002956953 - 2³⁷ = 43564003481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 181002956897 and 181002956906.

It is not an unprimeable number, because it can be changed into a prime (181002956653) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442549813 + ... + 442550221.

It is an arithmetic number, because the mean of its divisors is an integer number (2485695520).

Almost surely, 2^181002956953 is an apocalyptic number.

181002956953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

181002956953 is a deficient number, since it is larger than the sum of its proper divisors (57623812967).

181002956953 is a wasteful number, since it uses less digits than its factorization.

181002956953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 49.

The spelling of 181002956953 in words is "one hundred eighty-one billion, two million, nine hundred fifty-six thousand, nine hundred fifty-three".