201454513000 has 128 divisors (see below), whose sum is σ = 515989787040. Its totient is φ = 73163520000.

The previous prime is 201454512937. The next prime is 201454513009. The reversal of 201454513000 is 315454102.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 20834612964 + 180619900036 = 144342^2 + 424994^2 .

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 (201454513009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665980 + ... + 920020.

Almost surely, 2^201454513000 is an apocalyptic number.

201454513000 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 201454513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257994893520).

201454513000 is an abundant number, since it is smaller than the sum of its proper divisors (314535274040).

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

201454513000 is a wasteful number, since it uses less digits than its factorization.

201454513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254136 (or 254122 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 201454513000 its reverse (315454102), we get a palindrome (201769967102).

The spelling of 201454513000 in words is "two hundred one billion, four hundred fifty-four million, five hundred thirteen thousand".