201553900 has 72 divisors (see below), whose sum is σ = 471289280. Its totient is φ = 74571840.

The previous prime is 201553879. The next prime is 201553903. The reversal of 201553900 is 9355102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (201553903) 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, 80467 + ... + 82933.

Almost surely, 2^201553900 is an apocalyptic number.

201553900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201553900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235644640).

201553900 is an abundant number, since it is smaller than the sum of its proper divisors (269735380).

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

201553900 is a wasteful number, since it uses less digits than its factorization.

201553900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 201553900 is about 14196.9679861582. The cubic root of 201553900 is about 586.3141857914.

The spelling of 201553900 in words is "two hundred one million, five hundred fifty-three thousand, nine hundred".