202051149001 has 27 divisors (see below), whose sum is σ = 222370664103. Its totient is φ = 183504288240.

The previous prime is 202051148927. The next prime is 202051149017. The reversal of 202051149001 is 100941150202.

It is a happy number.

The square root of 202051149001 is 449501.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29889223225 + 172161925776 = 172885^2 + 414924^2 .

It is not a de Polignac number, because 202051149001 - 2²⁷ = 201916931273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202051149901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 414889180 + ... + 414889666.

Almost surely, 2^202051149001 is an apocalyptic number.

202051149001 is the 449501-st square number.

202051149001 is the 224751-st centered octagonal number.

It is an amenable number.

202051149001 is a deficient number, since it is larger than the sum of its proper divisors (20319515102).

202051149001 is an frugal number, since it uses more digits than its factorization.

202051149001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Multiplying 202051149001 by its sum of digits (25), we get a square (5051278725025 = 2247505²).

Adding to 202051149001 its reverse (100941150202), we get a palindrome (302992299203).

The spelling of 202051149001 in words is "two hundred two billion, fifty-one million, one hundred forty-nine thousand, one".