18513950 has 72 divisors (see below), whose sum is σ = 42751728. Its totient is φ = 5840640.

The previous prime is 18513917. The next prime is 18513953. The reversal of 18513950 is 5931581.

18513950 = 571² + 572² + ... + 622².

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18513953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58994 + ... + 59306.

It is an arithmetic number, because the mean of its divisors is an integer number (593774).

Almost surely, 2^18513950 is an apocalyptic number.

18513950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18513950 is an abundant number, since it is smaller than the sum of its proper divisors (24237778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18513950 is a wasteful number, since it uses less digits than its factorization.

18513950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The square root of 18513950 is about 4302.7839824932. The cubic root of 18513950 is about 264.5450839921.

The spelling of 18513950 in words is "eighteen million, five hundred thirteen thousand, nine hundred fifty".